Advertisements
Advertisements
Question
The sides of a certain triangle is given below. Find, which of them is right-triangle
6 m, 9 m, and 13 m
Advertisements
Solution
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
RELATED QUESTIONS
In the given figure, point T is in the interior of rectangle PQRS, Prove that, TS2 + TQ2 = TP2 + TR2 (As shown in the figure, draw seg AB || side SR and A-T-B)
In triangle ABC, given below, AB = 8 cm, BC = 6 cm and AC = 3 cm. Calculate the length of OC.
In equilateral Δ ABC, AD ⊥ BC and BC = x cm. Find, in terms of x, the length of AD.
Find the Pythagorean triplet from among the following set of numbers.
3, 4, 5
Find the Pythagorean triplet from among the following set of numbers.
2, 6, 7
Each side of rhombus is 10cm. If one of its diagonals is 16cm, find the length of the other diagonals.
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.
Two angles are said to be ______, if they have equal measures.
If the hypotenuse of one right triangle is equal to the hypotenuse of another right triangle, then the triangles are congruent.
Two poles of 10 m and 15 m stand upright on a plane ground. If the distance between the tops is 13 m, find the distance between their feet.
