Question

prove that the ratio of perimeters of two similar triangles is equal to the ratio of their corresponding sides.
with reason whole explanation....​

Answer 1

We know that if two triangles are similar then the ratio of their corresponding sides are equal.
Hence, if triangle ABC is similar to triangle PQR, we have:
AB/ PQ = BC/ QR = AC/ PR

Now, using a property of ratios, we have:
AB/ PQ = BC/ QR = AC/ PR = AB+BC+CA/ PQ+QR+PR

Hence, the ratio of the perimeters of two similar triangles is the same as the ratio of their corresponding sides.

Answer 2

heya.

✔here is ua answer:

As We know that when two triangles are similar the the ratio of their corresponding sides are equal.

So, if triangle ABC is similar to triangle PQR, we have:

AB/ PQ = BC/ QR = AC/ PR

Now, By using the property of ratios, we have:

AB/ PQ = BC/ QR = AC/ PR = AB+BC+CA/ PQ+QR+PR

Hence, the ratio of the perimeters of two similar triangles is the same as the ratio of their corresponding sides.

hence proved..

hope it helps..!!!❤