Advertisements
Advertisements
प्रश्न
In right angle ΔABC, if ∠B = 90°, AB = 6, BC = 8, then find AC.
Advertisements
उत्तर
In ΔABC, ∠B = 90°, AB = 6, BC = 8
By Pythagoras theorem,
AC2 = AB2 + BC2
= 62 + 82
= 36 + 64
AC2 = 100
∴ AC = 10 units
APPEARS IN
संबंधित प्रश्न
Sides of triangles are given below. Determine it is a right triangles? In case of a right triangle, write the length of its hypotenuse. 3 cm, 8 cm, 6 cm
ABC is an isosceles triangle right angled at C. Prove that AB2 = 2AC2
Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops.
D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE2 + BD2 = AB2 + DE2
A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.
Find the length diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.
If the sides of the triangle are in the ratio 1: `sqrt2`: 1, show that is a right-angled triangle.
In equilateral Δ ABC, AD ⊥ BC and BC = x cm. Find, in terms of x, the length of AD.
In a rectangle ABCD,
prove that: AC2 + BD2 = AB2 + BC2 + CD2 + DA2.
Prove that (1 + cot A - cosec A ) (1 + tan A + sec A) = 2
In the given figure, BL and CM are medians of a ∆ABC right-angled at A. Prove that 4 (BL2 + CM2) = 5 BC2.
In triangle PQR, angle Q = 90°, find: PQ, if PR = 34 cm and QR = 30 cm
Show that the triangle ABC is a right-angled triangle; if: AB = 9 cm, BC = 40 cm and AC = 41 cm
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.
2, 4, 5
A right triangle has hypotenuse p cm and one side q cm. If p - q = 1, find the length of third side of the triangle.
The foot of a ladder is 6m away from a wall and its top reaches a window 8m above the ground. If the ladder is shifted in such a way that its foot is 8m away from the wall to what height does its tip reach?
From a point O in the interior of aΔABC, perpendicular OD, OE and OF are drawn to the sides BC, CA and AB respectively. Prove that: AF2 + BD2 + CE2 = AE2 + CD2 + BF2
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.
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.
