Question

In ∆PQR, PQ = QR. ∠B=90°, PR=√8. Then find the length of PQ. 
​

Answer 1

Step-by-step explanation:

Take an online test Take Now

Login

Studyrankersonline

Ask a Question

In triangle PQR, angle Q = 90° find : PR, if PQ = 8 cm and QR = 6 cm

0

votes

3.8k views

asked Jun 11, 2019 in Class VII Maths by priya12 (-12,631 points)

In triangle PQR, angle Q = 90°, find :

(i) PR, if PQ = 8 cm and QR = 6 cm

(ii) PQ, if PR = 34 cm and QR = 30 cm

pythagoras theorem

Please log in or register to answer this question.

1 Answer

0

votes

answered Jun 11, 2019 by navnit40 (-4,939 points)

(i) Given:

PQ = 8 cm

QR = 6 cm

PR = ?

∠PQR = 90°

According to Pythagoras Theorem,

(PR)2 = (PQ)2 + (QR)2

PR2 = 82 + 62

PR2 = 64 + 36

PR2 = 100

∴ PR = √100 = 10 cm

(ii) Given :

PR = 34 cm

QR = 30 cm

PQ = ?

∠PQR = 90°

According to Pythagoras Theorem,

(PR)2 = (PQ)2 + (QR)2

(34)2 = PQ2 + (30)2

1156 = PQ2 + 900

1156 - 900 = PQ2

256 = PQ2

∴ PQ = 16 cm