The areas of two similar triangles are 25 cm2 and 36 cm2 respectively. if the perimeter of the second triangle is 24 cm, find the corresponding perimeter of the first triangle.

The corresponding perimeter of the first triangle is 20 cm

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

step 1

Find the scale factor

Let

z -----> the scale factor

x ----> area of the second triangle

y ---> area of the first triangle

so

we have

substitute

step 2

Find the perimeter of the first triangle

Let

z -----> the scale factor

x ----> perimeter of the second triangle

y ---> perimeter of the first triangle

so

we have

substitute the values and solve for y