Advertisements
Advertisements
प्रश्न
The sides of a certain triangle is given below. Find, which of them is right-triangle
6 m, 9 m, and 13 m
Advertisements
उत्तर
6 m, 9 m, and 13 m
The given triangle will be a right-angled triangle if the square of its largest side is equal to the sum of the squares on the other two sides.
i.e., If (13)2 = (9)2 + (6)2
169 = 81 + 36 = 169 ≠ 117
So, the given triangle is not right-angled.
APPEARS IN
संबंधित प्रश्न
Two towers of heights 10 m and 30 m stand on a plane ground. If the distance between their feet is 15 m, find the distance between their tops
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 an isosceles triangle, length of the congruent sides is 13 cm and its base is 10 cm. Find the distance between the vertex opposite the base and the centroid.
In triangle ABC, AB = AC = x, BC = 10 cm and the area of the triangle is 60 cm2.
Find x.
In the figure, given below, AD ⊥ BC.
Prove that: c2 = a2 + b2 - 2ax.
Diagonals of rhombus ABCD intersect each other at point O.
Prove that: OA2 + OC2 = 2AD2 - `"BD"^2/2`
Prove that in a right angle triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides.
The sides of the triangle are given below. Find out which one is the right-angled triangle?
8, 15, 17
The sides of the triangle are given below. Find out which one is the right-angled triangle?
11, 12, 15
If S is a point on side PQ of a ΔPQR such that PS = QS = RS, then ______.
