In a parallelogram, one of the angles is 45 °, and its sides are 5 cm and 8 cm. Find its area.
| September 28, 2021 | education
AB = CD = 5 cm; AD = BC = 8 cm; <BAD = 45 °;
S = AD * BH;
Tr – to ABН – isosceles;
AB² = AH² + BH²; 2 BH² = AB²; BH = √ (1/2 AB²) = √2 / 2 AB = 5/2 √2 = 2.5 √2 (cm);
S = 8 * 2.5 √2 = 20 √2 (cm²).
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