Mathematics
Grade9
Easy

Question

If you are given the SHORT LEG of a 30-60-90 triangle, choose correct way to find the HYPOTENUSE.

  1. Multiply by 2
  2. Divide by 2
  3. Multiply by square root of 3
  4. Divide by square root of 3

hintHint:

The given question is about a right-angled triangle. It is a 30°-60°-90° triangle. The triangle has two legs. One is longer than the other. And the third side is the hypotenuse. We are asked to tell a way to find the hypotenuse, when it’s shorter leg is given . We will use the properties of a 30°-60°-90° triangle to find the answer.

The correct answer is: Multiply by 2


    It is 30°-60°-90° triangle.
    We will use the properties of this triangle to find the answer.
    In a 30°-60°-90° triangle, the length of hypotenuse is two times the length of the smallest side. It’s longer side is √3 times the value of the smallest side.
    So, to find the hypotenuse we will multiply the shorter leg by 2.
    The right answer is “ multiply by 2”.

    For such questions, we should know the properties of different triangles

    Related Questions to study

    Grade9
    Mathematics

    Identify the type of triangle shown bellow.

    For such questions, we should know the properties of a triangle.

    Identify the type of triangle shown bellow.

    MathematicsGrade9

    For such questions, we should know the properties of a triangle.

    Grade9
    Mathematics

    If the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.

    For such questions, we should know the properties of different triangles.

    If the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.

    MathematicsGrade9

    For such questions, we should know the properties of different triangles.

    Grade9
    Mathematics

    Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45.

    For such questions, we should know the properties of different triangles.

    Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45.

    MathematicsGrade9

    For such questions, we should know the properties of different triangles.

    parallel
    Grade9
    Mathematics

    Calculate the value of x.

    For such questions, we should know the properties of right-angled triangle and isosceles triangle.

    Calculate the value of x.

    MathematicsGrade9

    For such questions, we should know the properties of right-angled triangle and isosceles triangle.

    Grade9
    Mathematics

    Calculate the value of x.

    For such questions, we should know properties of right-angled triangles.

    Calculate the value of x.

    MathematicsGrade9

    For such questions, we should know properties of right-angled triangles.

    Grade9
    Mathematics

    Find b in this 30-60-90 triangle.

    For such questions, we should know about the properties of a right-angled triangle and 30°-60°-90° triangle. The alternate way to solve the above question is by Pythagoras theorem and using trigonometric ratios.

    Find b in this 30-60-90 triangle.

    MathematicsGrade9

    For such questions, we should know about the properties of a right-angled triangle and 30°-60°-90° triangle. The alternate way to solve the above question is by Pythagoras theorem and using trigonometric ratios.

    parallel
    Grade9
    Mathematics

    A square has diagonal length 13 m. Find the side length of the square, in centimeters, rounded to two decimal places.

    For such questions, we should know the properties of triangle and square.

    A square has diagonal length 13 m. Find the side length of the square, in centimeters, rounded to two decimal places.

    MathematicsGrade9

    For such questions, we should know the properties of triangle and square.

    Grade9
    Mathematics

    The length of side c is ____________

    For such questions, we should know the properties of right-angled and isosceles triangle.

    The length of side c is ____________

    MathematicsGrade9

    For such questions, we should know the properties of right-angled and isosceles triangle.

    Grade9
    Mathematics

    Find x.

    For such questions, we should know about the properties of a right-angled triangle and 30°-60°-90° triangle. The alternate way to solve the above question is by Pythagoras theorem and using trigonometric ratios.

    Find x.

    MathematicsGrade9

    For such questions, we should know about the properties of a right-angled triangle and 30°-60°-90° triangle. The alternate way to solve the above question is by Pythagoras theorem and using trigonometric ratios.

    parallel
    Grade9
    Mathematics

    The measure of side b is _____________

    For such questions, we should know properties of the right-angled triangle and isosceles triangle.

    The measure of side b is _____________

    MathematicsGrade9

    For such questions, we should know properties of the right-angled triangle and isosceles triangle.

    Grade9
    Mathematics

    A square has side length 95. Calculate the length of the diagonal of the square. Express your answer in simplest radical form.

    For such questions, we should know properties of square and right-angled triangle.

    A square has side length 95. Calculate the length of the diagonal of the square. Express your answer in simplest radical form.

    MathematicsGrade9

    For such questions, we should know properties of square and right-angled triangle.

    Grade9
    Mathematics

    Find x.

    For such questions, we should know about the properties of a right-angled triangle and 30°-60°-90° triangle. The alternate way to solve the above question is by Pythagoras theorem and using trigonometric ratios.

    Find x.

    MathematicsGrade9

    For such questions, we should know about the properties of a right-angled triangle and 30°-60°-90° triangle. The alternate way to solve the above question is by Pythagoras theorem and using trigonometric ratios.

    parallel
    Grade9
    Mathematics

    Find the value of x.

    For such questions, we should know the properties of right-angled triangle.

    Find the value of x.

    MathematicsGrade9

    For such questions, we should know the properties of right-angled triangle.

    Grade9
    Mathematics

    Find the value of x.

    For such questions, we should the properties of both right-angled triangle and isosceles triangle.

    Find the value of x.

    MathematicsGrade9

    For such questions, we should the properties of both right-angled triangle and isosceles triangle.

    Grade9
    Mathematics

    Find x - the length of the hypotenuse of the triangle.

    For such questions, we should know properties of different triangles. triangles.

    Find x - the length of the hypotenuse of the triangle.

    MathematicsGrade9

    For such questions, we should know properties of different triangles. triangles.

    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.