0

Guest

Courses New

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

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

Grade:10

2 Answers

Vikas TU
14149 Points
3 years ago
Dear student 
Given In ∆PQR ,


PQ = 7 cm, QR = 25 cm
By Pythagoras theorem:
PR² = QR² - PQ²
= 25²- 7²
= 625 - 49
= 576
PQ = 24
Now,
tanQ - tanR
= PR/PQ - PQ/PR 
= 24/7 - 7/24 
= 527/168
 

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student


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

699-1129_061d6b073adc5751b7b7a254d1499fa9.jpg


Thanks

Think You Can Provide A Better Answer ?

Other Related Questions on Trigonometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More