Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reasons for your answer
Solution:
Given, the sides of a triangle are 25cm, 5cm and 24cm.
We have to find if the given sides of a triangle form a right triangle.
By using Pythagoras theorem for a right triangle,
a2 = b2 + c2
Let a = 25cm
b = 5cm
c = 24cm
So, (25)2 = (5)2 + (24)2
LHS: (5)2 + (24)2
= 25 + 576
= 601
RHS: (25)2
= 625
LHS ≠ RHS
Since, the pythagorean theorem does not apply, the given sides do not form a right triangle.
Therefore, the triangle with sides 25cm, 5cm and 24cm is not a right triangle.
✦ Try This: Is the triangle with sides 3cm, 4cm and 5cm a right triangle? Give reasons for your answer
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 6
NCERT Exemplar Class 10 Maths Exercise 6.2 Problem 1
Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reasons for your answer
Summary:
The triangle with sides 25 cm, 5 cm and 24 cm is not a right triangle.
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