Question

I need help answering this question

Answer 1

6 and 6.4, read the explanation for more details

Explanation:

Let's start by calling the second leg of the big triangle x, and the other unknown smaller length y. x can be found using the pythagorean theorem.
`√(10^2-8^2)=6`. y can be found by setting up a ratio. The hypotenuse of the larger triangle has length 10, while the hypotenuse of the smaller triangle has length 8. Since the are similar triangles, the ratio of the hypotenuses is the same as the ratios of the respective sides.

10:8=8:y

y=6.4

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