The parallelogram angle is 45 degrees, the sides are 7 √2 and 17. Find S area.

univerkov | May 4, 2021 | education

1. S is the area of the parallelogram ABCD. AB = 7√2 units of measurement. АD – 17 units of measurement.

ВK – height. ∠А = 45 °. BE – height (drawn to the base of AD)

2. We calculate the length of the height BE through one of the trigonometric functions ∠A (sine).

BE / AB = sine ∠A = sine ∠A 45 ° = √2 / 2.

BE = 7√2 x √2 / 2 = units.

3. S = AD x BE = 17 x 7 = 119 units of measure².

Answer: S = 119 units of measure².

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