Question

Two triangles have side lengths 3, 4, 5 and 6, _____, 10, respectively. The triangles are similar to each other.

9
7
8
6.6

Answer 1

Hello!

You have to find out happened between triangles

6 / 3 = 2
10 / 5 = 2

They multiplied the first triangle by 2 to get the second

Apply this to find the missing side

4 * 2 = 8

The answer is 8

Hope this helps!

Answer 2

The correct option is: 8

Explanation:

Suppose, the missing side length in second triangle is
`x`

So, the side lengths of first triangle:
`3, 4, 5`

and the side lengths of second triangle:
`6, x, 10`

As two triangles are similar, that means their corresponding side lengths will be proportional.

So,

`(3)/(6)=(4)/(x)\\ \\ 3x= 4*6\\ \\ 3x= 24\\ \\ x=(24)/(3)=8`

So, the missing side length in second triangle is 8.