Question

in ∆ABC, angle ABC =90⁰ and the length of the hypotenuse AC is 13 cm. find AB²+BC²​

Answer 1

Given,

Angle ABC = 90°

AC or length of hypotenuse = 13 cm

To find,

The value of AB²+BC².

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

According to the Pythagoras theorem,

Hypotenuse² = Base² + Height²

In this case,

Base = BC

Height = AB

According to the data mentioned in the question :

13² = AB²+BC² (By putting the values.)

AB²+BC² = 169

(This will be considered as the final result.)

Hence, the value of AB²+BC² is 169 cm².