The height BH of the rhombus awsd divides its side hell into segments AH = 24 HD = 50 find the area of the rhombus.
| August 13, 2021 | education
Determine the length of the side AD of the rhombus.
AD = AH + DH = (24 + 50) = 74 cm.
Since the lengths of all sides of a rhombus are equal, then AB = AD = BC = CD = 74 cm.
In a right-angled triangle ABH, according to the Pythagorean theorem, we determine the length of the BN leg.
BH ^ 2 = AB ^ 2 – AH ^ 2 = 72 ^ 2 – 24 ^ 2 = 5476 – 576 = 4900.
BH = 70 cm.
Determine the area of the rhombus.
Savsd = AD * BH = 74 * 70 = 5180 cm2.
Answer: The area of the rhombus is 5180 cm2.
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