In a rhombus with a side of 13cm, one of the diagonals is 24cm. What is the other diagonal of the rhombus?

Rhombus ABCD has two diagonals AC and BD, intersecting with each other at right angles, dividing each other in half, at point H. Consider triangle ABH: AB = 13, BH = 24: 2, AH -?

13 ^ 2 = 12 ^ 2 + AH ^ 2;

169 – 144 = AH ^ 2;

AH ^ 2 = 25;

Answer: 10 cm.



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