In parallelogram ABCD, side AB is less than side AD by 2 and angle B. From vertex B to side AD,
| April 9, 2021 | education
In parallelogram ABCD, side AB is less than side AD by 2 and angle B. From vertex B to side AD, the height BH = 12 is lowered, find BC if AH = 9.
Since ВН is the height of a parallelogram, then the triangle AВН is rectangular, then, according to the Pythagorean theorem, we determine the length of the hypotenuse AB.
AB ^ 2 = AH ^ 2 + BH ^ 2 = 81 + 144 = 225.
AB = 15 cm.
By the condition AB = AD – 2, then AD = AB + 2 = 15 + 2 = 17 cm.
In a parallelogram, the opposite sides are equal, then BC = AD = 17 cm.
Answer: The length of the BC side is 17 cm.
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