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QUAD is a rhombus. If QR=21 , RD=20, what is the length of QD?

QUAD is a rhombus. If QR=21 , RD=20, what is the length of QD?-example-1

1 Answer

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Answer:

Correct answer: QD = 29

Explanation:

Given:

QR = 21 half the longer diagonal

RD = 20 half shorter diagonal

QD = ? rhombus side

The diagonals of the rhombus are known to be perpendicular to each other.

We will calculate the side of the rhombus using Pythagorean theorem.

QD² = QR² + RD²

QD² = 21² + 20² = 441 + 400 = 841

QD = √841 = 29

QD = 29

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