Question

Question 1 (i)
Sides of a triangle are given below. Determine whether it forms a right triangle? In case of a right triangle, write the length of its hypotenuse.
(i) 7 cm, 24 cm, 25 cm

Answer 1

(i) Given that the sides of the triangle are 7 cm, 24 cm, and 25 cm.
Squaring the lengths of these sides, we will get 49, 576, and 625.
49 + 576 = 625
$(7{)}^2+(24{)}^2=(25{)}^2$
The sides of the given triangle are satisfying Pythagoras theorem.
Hence, it is a right-angled triangle.
Length of Hypotenuse = Length of the longest side = 25 cm