The bases of an isosceles trapezoid are 12 and 42 the side is 39 find the bottom of the trapezoid diagonal.
July 24, 2021
The diagonal of an isosceles trapezoid is found by the formula:
d = √ (ab + c ^ 2),
where a is the length of the larger base (a = 42 conventional units), b is the length of the smaller base (b = 12 conventional units), c is the length of the lateral side (c = 39 conventional units).
The diagonal of an isosceles trapezoid given by condition is equal to:
d = √ (42 * 12 + 39 ^ 2) = √ (504 + 1521) = √2025 = 45 conventional units.
Answer: d = 45 conventional units.
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