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
In the given figure, ABC is a triangle in which ∠ABC> 90° and AD ⊥ CB produced. Prove that AC2 = AB2 + BC2 + 2BC.BD.

Identify, with reason, if the following is a Pythagorean triplet.
(10, 24, 27)
In ∆ABC, ∠BAC = 90°, seg BL and seg CM are medians of ∆ABC. Then prove that:
4(BL2 + CM2) = 5 BC2

Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m;
find the distance between their tips.
The top of a ladder of length 15 m reaches a window 9 m above the ground. What is the distance between the base of the wall and that of the ladder?
From the given figure, find the length of hypotenuse AC and the perimeter of ∆ABC.
In a right-angled triangle ABC,ABC = 90°, AC = 10 cm, BC = 6 cm and BC produced to D such CD = 9 cm. Find the length of AD.
Sides AB and BE of a right triangle, right-angled at B are of lengths 16 cm and 8 cm respectively. The length of the side of largest square FDGB that can be inscribed in the triangle ABE is ______.

In an isosceles triangle PQR, the length of equal sides PQ and PR is 13 cm and base QR is 10 cm. Find the length of perpendicular bisector drawn from vertex P to side QR.
In a right-angled triangle ABC, if angle B = 90°, then which of the following is true?
