Advertisements
Advertisements
प्रश्न
The sides of a certain triangle is given below. Find, which of them is right-triangle
16 cm, 20 cm, and 12 cm
Advertisements
उत्तर
16 cm, 20 cm and 12 cm
The given triangle will be a right-angled triangle if square of its largest side is equal to the sum of the squares on the other two sides.
i.e., If (20)2 = (16)2 = (12)2
(20)2 = (16)2 + (12)2
400 = 256 + 144
400 = 400
So, the given triangle is right-angled.
APPEARS IN
संबंधित प्रश्न
ABC is a right triangle right-angled at C. Let BC = a, CA = b, AB = c and let p be the length of perpendicular from C on AB, prove that
(i) cp = ab
`(ii) 1/p^2=1/a^2+1/b^2`
In Figure, ABD is a triangle right angled at A and AC ⊥ BD. Show that AB2 = BC × BD
In a trapezium ABCD, seg AB || seg DC seg BD ⊥ seg AD, seg AC ⊥ seg BC, If AD = 15, BC = 15 and AB = 25. Find A(▢ABCD)
ABC is a triangle, right-angled at B. M is a point on BC.
Prove that: AM2 + BC2 = AC2 + BM2
The sides of the triangle are given below. Find out which one is the right-angled triangle?
8, 15, 17
A point OI in the interior of a rectangle ABCD is joined with each of the vertices A, B, C and D. Prove that OB2 + OD2 = OC2 + OA2
A man goes 18 m due east and then 24 m due north. Find the distance of his current position from the starting point?
Find the unknown side in the following triangles
An isosceles triangle has equal sides each 13 cm and a base 24 cm in length. Find its height
In triangle ABC, line I, is a perpendicular bisector of BC.
If BC = 12 cm, SM = 8 cm, find CS
