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

Answer:
Correct answer: QD = 29
Step-by-step 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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