Question

The sides of a right angle triangle PQR are PQ = 7 cm, QR = 25cm and ∠Q = 90° respectively. Then find, tan Q − tan R.

Answer 1

I think angle is P that is 90 degree.
q = 90 degree will lead to contradiction according to the question.
So assuming P = 90 degree,


PQ = 7cm and QR = 25 cm.
PQR is a right angle triangleBy using Pythagoras theorem
PR2 =QR2 - PQ2
PR2=576
PR=24
Tan Q=PR/PQ=24/7
Tan R=PQ/PR=7/24
Tan Q-Tan R=527/168

Answer 2

I think angle is P that is 90 degree.

q = 90 degree will lead to contradiction according to the question.

So assuming P = 90 degree,

PQ = 7cm and QR = 25 cm.

PQR is a right angle triangleBy using Pythagoras theorem

PR2 =QR2 - PQ2

PR2=576

PR=24

Tan Q=PR/PQ=24/7

Tan R=PQ/PR=7/24

Tan Q-Tan R=527/168

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