Advertisements
Advertisements
Question
Identify, with reason, if the following is a Pythagorean triplet.
(10, 24, 27)
Advertisements
Solution
In the triplet (10, 24, 27),
102 = 100, 242 = 576, 272 = 729 and 100 + 576 = 676 ≠ 729
The square of the largest number is not equal to the sum of the squares of the other two numbers.
∴ (10, 24, 27) is not a pythagorean triplet.
APPEARS IN
RELATED QUESTIONS
Some question and their alternative answer are given. Select the correct alternative.
If a, b, and c are sides of a triangle and a2 + b2 = c2, name the type of triangle.
Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm.
In right angle ΔABC, if ∠B = 90°, AB = 6, BC = 8, then find AC.
Choose the correct alternative:
In right-angled triangle PQR, if hypotenuse PR = 12 and PQ = 6, then what is the measure of ∠P?
Find the length of diagonal of the square whose side is 8 cm.
Prove that (1 + cot A - cosec A ) (1 + tan A + sec A) = 2
The sides of a certain triangle is given below. Find, which of them is right-triangle
6 m, 9 m, and 13 m
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
Use the information given in the figure to find the length AD.

In the figure below, find the value of 'x'.

In the right-angled ∆LMN, ∠M = 90°. If l(LM) = 12 cm and l(LN) = 20 cm, find the length of seg MN.
The sides of the triangle are given below. Find out which one is the right-angled triangle?
1.5, 1.6, 1.7
In a right-angled triangle PQR, right-angled at Q, S and T are points on PQ and QR respectively such as PT = SR = 13 cm, QT = 5 cm and PS = TR. Find the length of PQ and PS.
If ‘l‘ and ‘m’ are the legs and ‘n’ is the hypotenuse of a right angled triangle then, l2 = ________
Find the unknown side in the following triangles
In ΔABC, if DE || BC, AD = x, DB = x – 2, AE = x + 2 and EC = x – 1, then value of x is ______.
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 ______.

The top of a broken tree touches the ground at a distance of 12 m from its base. If the tree is broken at a height of 5 m from the ground then the actual height of the tree is ______.
Two rectangles are congruent, if they have same ______ and ______.
