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12
17a + 21a + 45 = 38a+ 45
17a
17 is prime - it can only be divide by 1 & itself.
If you draw another altitude parallel to the height (the side which is perpendicular to the bases) of the trapezoid, you can see that a right triangle is formed.In this triangle the hypotenuse length is 17 in, and the base length equals to 28 - 16 = 12 in. From the Pythagorean theorem, height length = √(17 - 12) ≈ 12 in.Or find the measure of the angle (call it A) opposite to the height such as:cos A = 12/17A = cos-1 (12/17) ≈ 45⁰, which tells us that this right triangle is an isosceles triangle.Therefore, the height is (congruent with base) 12 inches long