SOLUTION: A rhombus is RSTV with diagonals RT and SV so that RT = 16 and SV = 30 What is RS?

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Question 1193123: A rhombus is RSTV with diagonals
RT and SV so that RT = 16 and SV = 30 What is RS?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The diagonals of a rhombus are perpendicular and bisect each other.

Since the lengths of the diagonals are 16 and 30, they divide the rhombus into 4 congruent right triangles each with legs 8 and 15; each side of the rhombus is the hypotenuse of one of those right triangles.

The Pythagorean Theorem tells us the length of each hypotenuse is 17.

ANSWER: RS (and each other side of the rhombus) has length 17.