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## Comment on

Rectangle’s height## Hi Brent,

Please help me with the solution to this question.

Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parallel to the x-axis. The x- and y-coordinates of P, Q and R are to be integers that satisfy the inequalities -4 ≤ x ≤ 5 and 6 ≤ y ≤ 16. How many different triangles with these properties could be constructed ?

(A) 110

(B) 1,100

(C) 9,900

(D) 10,000

(E) 12,100

## This is more of a counting

This is more of a counting question than a geometry question. That said, it's a question I've answered many times on the Beat The GMAT forum.

My detailed solution can be found here: http://www.beatthegmat.com/og-228-t284238.html

## Hey thanks for all your help

For this I made a ratio of a smaller triangle with sides then multipled to get the height

smaller triangle sides = 1, 2, sq(5)

multiply ratio

sq(60)*(2/sq(5)) = x

x = 4sq(3)

Does this way always work as well?

## Nice!

Nice!

That approach will work for all analogous questions.

Cheers,

Brent

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