The sides of a right angle triangle PQR are PQ=7cm; QR=25cm and angle P=90 degrees respectively.Then find.; tanQ - tanR.

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Dear Student

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GivenIn∆PQR,<P=90°,

PQ=7cm,QR=25cm

ByPythagorastheorem:

PR²=QR²-PQ²

=25²-7²

=625-49

=576

PR =24 cm

Now,

tanQ= 24/7
tanR= 7/24

tanQ - tanR = 24/7 –7/24
= (576-49)/168
=527/168

Therefore,
tanQ - tanR= 527/168




Thanks