The two sides of a right-angled triangle are 6 cm and 8 cm. Find the length of the hypotenuse.

Given: The two sides of a right-angled triangle are 6 cm and 8 cm.

To find: Here we have to find the length of the hypotenuse.

Solution:

We know that in a right-angled triangle:

(Hypotenuse)² = (Base)² $+$ (Height)² 

Now,

Base = 8 cm and Height = 6 cm

(Hypotenuse)² = (Base)² $+$ (Height)² 

(Hypotenuse)² = 8² $+$ 6²    

(Hypotenuse)² = 64 $+$ 36

(Hypotenuse)² = 100 

Hypotenuse = 10 cm

So, hypotenuse is equal to 10 cm.