Question

The lengths of the sides of a triangle are 8, 15, and 17. if the longest side of a similar triangle is 51, what is the length of the shortest side?

Answer 1

If the longest side on the similar triangle is 51 and the longest side of the first triangle is 17, then you divide 51 and 17.

51 / 17 = 3

So the similar triangle is 3 times as big.
To find the shortest side of the similar triangle, you multiply 8 and 3.

8 * 3 = 24

The length of the shortest side of the similar triangle is 24.

Hope this helps!

Answer 2

he length of the shortest side is 32

Similar triangles and scale factors

Given the length if the sides of the triangle to be 8, 15 and 17. If the longest side of a similar triangle is 51, then the scale factor will be expressed as:

Scale factor  = 51/17

Scale factor = 4

For the shortest side;

Length  = 8 * scale factor

Length  = 8 * 4

Length = 32

Hence the length of the shortest side is 32

Learn more on scale factor here: https://brainly.com/question/10253650