Question

Pythagorean Theorem find the missing side length

Answer 1

The answer for s is 12

Explanation:

AB/XY=AC/XZ=BC/YC

AB/XY=AC/XZ

6/9=8/S

Cross multiply

6s=8×9

6s=72

divide both sides by 6

6s/6=72/6

s=12

Answer 2

s = 12

Explanation:

In similar triangles, corresponding sides are always in the same ratio.

As triangle ABC is similar to triangle XYZ, then:

`AC:AB = XZ:XY`

Substitute the given values into the ratio:

`8:6=s:9`

Solve for s:

`\begin{aligned}(8)/(6)&=(s)/(9)\\\\(8)/(6)\cdot 9&=(s)/(9)\cdot 9\\\\ (72)/(6)&=s\\\\12&=s\\\\s&=12\end{aligned}`

Therefore, the value of s is 12.