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Chapter 2: Q59. (page 96)

The scale factor for two similar triangles is 2:3. The perimeter of the smaller triangle is 56 cm. What is the perimeter of the larger triangle in centimeters?

Short Answer

Expert verified

The perimeter of larger triangle is 84cm.

Step by step solution

01

Step 1. Perimeter of a triangle.

The basic formula to calculate the perimeter of a triangle with sides 'a', 'b', and 'c' is:a+b+c

02

Step 2. Use given information and determine the equation.

Let the perimeter of larger triangle be x.

Scale factor of two triangles is 2:3.

Perimeter of smaller triangle56cm

23=56x

03

Step 3. Solve for x.

The equation can be written as:

23=56x2x=56脳32x=168x=84cm..

Hence, the perimeter of larger triangle is84cm.

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