Question

The sides of right angle tringleader PQR are PQ=7cm ,QR=25cm, angle P=90° respectively. Then find tanQ-tanR

Answer 1

Answer:

Given that PQ = 7 cm, PR = 25 cm, ∠ Q = 90°. Since it is a right angled triangle, we can find the other side of the triangle using Pythagoras Theorem. In Δ PQR, PQ = Opposite side, PR = Hypotenuse, QR = Adjacent side. Hence QR = 24 cm.

Step-by-step explanation:

R.E.F image

In △ PQR using pythagoras theorem

(PR)×(PR)=(PQ)×(PQ)+(QR)×(QR)

625-49=(QR)×(QR)

(QR)×(QR)=√576

QR=24CM

now tan P = 24/7 and tan R = 7/24

tanP-tanR=

24/7−7/24 =576−49/168

= 527/168