Question

What is the length of the hypotenuse of the triangle?

Answer 1

pythagrean theorem
a²+b²=c²

7cm² + 3cm² = c²
49 + 9 = c²
58 = c²
√58 = c
c = 7.62cm

Answer 2

Hypotenuse, AB = 7.61 cm

Explanation:

In the given figure it is given that, ABC is a right angled triangle with base length BC = 3 cm and perpendicular distance AC = 7 cm. We have to find the length of hypotenuse i.e. AB

The length of hypotenuse is solved using Pythagoras theorem. The mathematical expression for the Pythagoras theorem can be written as :

`AB^2=AC^2+BC^2`

`AB^2=7^2+3^2`

`AB^2=58`

AB = 7.61 cm

So, the length of the hypotenuse of the triangle is equal to 7.61 cm