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Question

In trapezoid TRAP, TR is parallel to AP, TA is perpendicular to PR, Tr = 6, TA = 19, and PR = 180.

Find AP.

so far i know i must use the Pythagorean Theorem and try using similar triangles, but i'm still lost. please help me.

Answer 1

Draw an auxiliary line RN perpendicular to AP

Now: RN^2 + NP^2 = RP^2 (Pithagorean teorem)
From this expression, we find

NP^2 =180^2-19^2

On the other hand, AP = AN + NP,

But AN = TP

AP = 6 + (square root of (180^2-19^2))

("Whatever" to the answer below me. There are trapezoid with right angles, or whatever you call them. )

Answer 2

The question doesn't make sense and there is no answer.

Two lines can't be perpendicular in a trapezoid, because perpendicular means forming a right angle, and with a trapezoid that is impossible.

A trapezoid is a rectangle with only one pair of parallel lines. Therefore, there are no right angles.

Answer 3

I don't understand how TA can be perpendicular to PR if they do not intersect. Wouldn't the line segments have to share a common letter in their names if they intersect?

Answer 4

not learnt abt it! soooooooooo ummmmmmmmmm sorry