Mathematics

Grade9

Easy

Question

If the areas of two similar triangles are in the ratio 9:16, then their corresponding sides are in the ratio

3 : 4
1 : 3
1 : 2
1 : 4

hint Hint:

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

The correct answer is: 3 : 4

Ratio of area of similar triangles = Square of ratio of their corresponding sides.
$9 over 16 equals a squared over b squared 3 squared over 4 squared equals a squared over b squared 3 space colon space 4 space equals space a space colon thin space b$
Therefore, ratio of corresponding side is 3 :4 .

In the given figure, DE || BC, and all measurements are in centimeters. The length of AC is

MathematicsGrade9

Grade9

Mathematics

The ratio of perimeter similar to triangles is equal to

MathematicsGrade9

Grade9

Mathematics

Find the length of CD of the following figure if AB ll DE.

MathematicsGrade9

Grade9

Mathematics

If the triangles in the figure are similar, then what is the measure of $angle C$ ?

MathematicsGrade9

Grade9

Mathematics

In the given figure ∆ADE ~ ∆ABC, if AD = 6 cm, DB = 9 cm, and AE = 8 cm, then what will be the value of AC?

MathematicsGrade9

Grade9

Mathematics

If AD is the bisector of $angle A$ . find the $fraction numerator A C over denominator A B end fraction$ .

MathematicsGrade9

Grade9

Mathematics

If ∆UDE ~ ∆UTS, then find the measure of $angle U T S$ .

MathematicsGrade9

Grade9

Mathematics

Given two triangles are similar. Which is the similarity criteria it satisfies?

MathematicsGrade9

Grade9

Mathematics

Find the value of KJ. $capital delta LK J space tilde space capital delta RQP$ .

MathematicsGrade9

Grade9

Mathematics

If two triangles UBC ~ UST, then find the value of BS.

MathematicsGrade9

Grade9

Mathematics

$capital delta HGF tilde capital delta HTS$ satisfies which similarity criteria?

$angle S T H equals space angle F G H comma space angle T H S equals space angle G H F comma$ then by AA similarity criteria

$capital delta HGF tilde capital delta HTS$ satisfies which similarity criteria?

MathematicsGrade9

$angle S T H equals space angle F G H comma space angle T H S equals space angle G H F comma$ then by AA similarity criteria

Grade9

Mathematics

If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides, including these angles, are proportional, it satisfies

MathematicsGrade9

Grade9

Mathematics

If triangles ABC and ADE are similar, then which of the following is not true?

MathematicsGrade9

Grade9

Mathematics

In the given figure, two triangles are similar, then it satisfies

MathematicsGrade9

Grade9

Mathematics

In the given figure, two triangles are similar $angle A equals angle D$ and $fraction numerator D E over denominator A B end fraction equals fraction numerator D F over denominator A C end fraction$ , then it satisfies

$angle A equals angle D$ and $fraction numerator D E over denominator A B end fraction equals fraction numerator D F over denominator A C end fraction$ , given; therefore, SAS similarity criteria

In the given figure, two triangles are similar $angle A equals angle D$ and $fraction numerator D E over denominator A B end fraction equals fraction numerator D F over denominator A C end fraction$ , then it satisfies

MathematicsGrade9

$angle A equals angle D$ and $fraction numerator D E over denominator A B end fraction equals fraction numerator D F over denominator A C end fraction$ , given; therefore, SAS similarity criteria

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If the areas of two similar triangles are in the ratio 9:16, then their corresponding sides are in the ratio

3 : 41 : 31 : 21 : 4

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

The correct answer is: 3 : 4

Ratio of area of similar triangles = Square of ratio of their corresponding sides.Therefore, ratio of corresponding side is 3 :4 .

Related Questions to study

In the given figure, DE || BC, and all measurements are in centimeters. The length of AC is

In the given figure, DE || BC, and all measurements are in centimeters. The length of AC is

The ratio of perimeter similar to triangles is equal to

The ratio of perimeter similar to triangles is equal to

Find the length of CD of the following figure if AB ll DE.

Find the length of CD of the following figure if AB ll DE.

If the triangles in the figure are similar, then what is the measure of ?

If the triangles in the figure are similar, then what is the measure of ?

In the given figure ∆ADE ~ ∆ABC, if AD = 6 cm, DB = 9 cm, and AE = 8 cm, then what will be the value of AC?

In the given figure ∆ADE ~ ∆ABC, if AD = 6 cm, DB = 9 cm, and AE = 8 cm, then what will be the value of AC?

If AD is the bisector of . find the .

If AD is the bisector of . find the .

If ∆UDE ~ ∆UTS, then find the measure of .

If ∆UDE ~ ∆UTS, then find the measure of .

Given two triangles are similar. Which is the similarity criteria it satisfies?

Given two triangles are similar. Which is the similarity criteria it satisfies?

Find the value of KJ. .

Find the value of KJ. .

If two triangles UBC ~ UST, then find the value of BS.

If two triangles UBC ~ UST, then find the value of BS.

satisfies which similarity criteria?

satisfies which similarity criteria?

If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides, including these angles, are proportional, it satisfies

If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides, including these angles, are proportional, it satisfies

If triangles ABC and ADE are similar, then which of the following is not true?

If triangles ABC and ADE are similar, then which of the following is not true?

In the given figure, two triangles are similar, then it satisfies

In the given figure, two triangles are similar, then it satisfies

In the given figure, two triangles are similar and, then it satisfies

In the given figure, two triangles are similar and, then it satisfies

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3 : 4
1 : 3
1 : 2
1 : 4

If the triangles in the figure are similar, then what is the measure of $angle C$ ?

If the triangles in the figure are similar, then what is the measure of $angle C$ ?

If AD is the bisector of $angle A$ . find the $fraction numerator A C over denominator A B end fraction$ .

If AD is the bisector of $angle A$ . find the $fraction numerator A C over denominator A B end fraction$ .

If ∆UDE ~ ∆UTS, then find the measure of $angle U T S$ .

If ∆UDE ~ ∆UTS, then find the measure of $angle U T S$ .

Find the value of KJ. $capital delta LK J space tilde space capital delta RQP$ .

Find the value of KJ. $capital delta LK J space tilde space capital delta RQP$ .

$capital delta HGF tilde capital delta HTS$ satisfies which similarity criteria?

$capital delta HGF tilde capital delta HTS$ satisfies which similarity criteria?

In the given figure, two triangles are similar $angle A equals angle D$ and $fraction numerator D E over denominator A B end fraction equals fraction numerator D F over denominator A C end fraction$ , then it satisfies

In the given figure, two triangles are similar $angle A equals angle D$ and $fraction numerator D E over denominator A B end fraction equals fraction numerator D F over denominator A C end fraction$ , then it satisfies