# The bases of an isosceles trapezoid are 12 and 42 the side is 39 find the bottom of the trapezoid diagonal.

July 24, 2021 | education

| 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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