Question

The length of the hypotenuse and another side
of a right-angled triangle is 25 cm and 7 cm
respectively. Find the length of the third side.
1​

Answer 1

Answer:

24 cm

Step-by-step explanation:

given,

hypotenuse = 25cm

and another side = 7cm

by pythagorean theorem,

the square of the hypotenuse is equal to the sum of the squares of the other 2 sides.

and so, 25² = 7² + x²   (by assuming the measure of the other side be x units)

=>  x² = 25²-7²  cm²

=>  x = √(25²-7²) cm

=> x = √(625-49)cm

=> x = √576cm

=> x = 24 cm

         

Answer 2

Step-by-step explanation:

here given that

hypotenuse = 25cm

another side of right angled triangle = 7cm

so by using Pythagorean theorem

25² = x ² + 7 ² cm ²

= x ² = ( 25 ² - 7 ² ) cm ²

= x = √( 25 ² - 7² ) cm

= x = ( 625 - 49 ) cm

= x = √ 576 cm

= √ 576

= length of third side = 24 cm