Advertisements
Advertisements
प्रश्न
In triangle PQR, angle Q = 90°, find: PQ, if PR = 34 cm and QR = 30 cm
Advertisements
उत्तर
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 = `sqrt256` = 16 cm
APPEARS IN
संबंधित प्रश्न
The perpendicular from A on side BC of a Δ ABC intersects BC at D such that DB = 3CD . Prove that 2AB2 = 2AC2 + BC2.
A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.
Find the length diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.
The sides of a certain triangle is given below. Find, which of them is right-triangle
6 m, 9 m, and 13 m
Find the Pythagorean triplet from among the following set of numbers.
2, 6, 7
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 : 9(AQ2 + BP2) = 13AB2
If in a ΔPQR, PR2 = PQ2 + QR2, then the right angle of ∆PQR is at the vertex ________
An isosceles triangle has equal sides each 13 cm and a base 24 cm in length. Find its height
In a right-angled triangle ABC, if angle B = 90°, then which of the following is true?
In a triangle, sum of squares of two sides is equal to the square of the third side.
