Mathematics
Grade9
Easy

Question

If the area of two similar triangles is 144 and 225, respectively, then what is the scale factor of similar triangles?

  1. 13 : 14
  2. 4 : 5
  3. 15 : 16
  4. 11 : 12

hintHint:

In similar triangles, Ratio of area of similar triangles is equal to Ratio of square of scale factor (or) Ratio of square of corresponding sides.

The correct answer is: 4 : 5


    In similar triangles, Ratio of area of similar triangles is equal to Ratio of square of scale factor (or) Ratio of square of corresponding sides.
    Ratio of area of similar triangles = Ratio of square of scale factor.
    144 over 225 equals a squared over b squared
12 squared over 15 squared equals a squared over b squared
12 over 15 equals a over b
4 over 5 equals a over b
a space colon space b space equals space 4 space colon thin space 5
    Therefore, scale factor of the similar triangles is 4:5 .

    Related Questions to study

    Grade9
    Mathematics

    Scale factor of A to B is 2: 9. If the perimeter of A is 18 cm, what is the perimeter of B?

    Scale factor of A to B is 2: 9. If the perimeter of A is 18 cm, what is the perimeter of B?

    MathematicsGrade9
    Grade9
    Mathematics

    If the perimeter of two triangles ABC and PQR are 24 and 36, respectively. What is the ratio of their corresponding sides?

    If the perimeter of two triangles ABC and PQR are 24 and 36, respectively. What is the ratio of their corresponding sides?

    MathematicsGrade9
    Grade9
    Mathematics

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

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

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    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

    MathematicsGrade9
    Grade9
    Mathematics

    The ratio of perimeter similar to triangles is equal to

    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.

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

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    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?

    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?

    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.

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

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

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

    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?

    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.

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

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

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

    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

    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
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.