Question

Assume that SV←→ is the perpendicular bisector of RT¯¯¯¯¯¯¯. If VR¯¯¯¯¯¯¯ is congruent to VT¯¯¯¯¯¯¯, what is the length of SR¯¯¯¯¯¯? Explain how you arrived at your answer.

Answer 1

If RV is congruent to VT, that means VT is 8 also. Since SV is the same in both triangles, we can find RS by using the Pythagorean Theorem: RS² = 8² + SV². 17² = 8² + SV². From this, we know that RS is congruent to ST, which is 17.
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Hope this helps!

Answer 2

17 is the right answer because measure ST