The middle line of the trapezoid is 16, the area is 152. Find the height of the trapezoid.

univerkov | June 26, 2021 | education

Given:
trapezoid ABCE,
KO – middle line,
ВР – height,
KO = 16,
S abs = 152.
Find the length of the height BP -?
Decision:
Consider the trapezoid ABCE.
The area of this trapezoid is found by the formula:
S abce = KO * BP (express BP);
BP = S abs: KO;
BP = 152: 16;
BP = 9.5.
Answer: 9.5

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