Question

In right $△$ ABC, the lengths of the legs are given. Find the length of the hypotenuse if a = 6 cm, b = 8 cm

Answer 1

According to the Pythagoras theorem, we have

(Hypotenuse)${}^2$ = (Base)${}^2$ + (Height)${}^2$

Let c be hypotenuse and a and b be other two legs of right angled triangle

Then we have

$c^2=a^2+b^2$

$c^2=6^2+8^2$

$c^2=36+64=100$

c = 10 cm