Advertisements
Advertisements
Question
In triangle PQR, angle Q = 90°, find: PR, if PQ = 8 cm and QR = 6 cm
Advertisements
Solution
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 = `sqrt100` = 10 cm
APPEARS IN
RELATED QUESTIONS
If the sides of a triangle are 6 cm, 8 cm and 10 cm, respectively, then determine whether the triangle is a right angle triangle or not.
The perpendicular AD on the base BC of a ∆ABC intersects BC at D so that DB = 3 CD. Prove that `2"AB"^2 = 2"AC"^2 + "BC"^2`
PQR is a triangle right angled at P and M is a point on QR such that PM ⊥ QR. Show that PM2 = QM . MR
An aeroplane leaves an airport and flies due north at a speed of 1,000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1,200 km per hour. How far apart will be the two planes after `1 1/2` hours?
Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm.
In ∆ ABC, AD ⊥ BC.
Prove that AC2 = AB2 +BC2 − 2BC x BD
A ladder, 6.5 m long, rests against a vertical wall. If the foot of the ladder is 2.5 m from the foot of the wall, find up to how much height does the ladder reach?
Find the Pythagorean triplet from among the following set of numbers.
4, 7, 8
In a triangle ABC right angled at C, P and Q are points of sides CA and CB respectively, which divide these sides the ratio 2 : 1.
Prove that: 9AQ2 = 9AC2 + 4BC2
Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reasons for your answer.
