Question

If 'l' and 'm' are the legs and 'n' is the hypotenuse of a right angled triangle then, l² = ________.​

Answer 1

Answer:

l^2 = n^2 - m^2

Answer 2

Pythagorean theorem:

• If $a,b$ be the legs and $c$ be the hypotenuse of any right-angled triangle, then
• $\quad a^{2}+b^{2}=c^{2}$

Given data:

Two legs are $l,m$ and $n$ is the hypotenuse of the right-angled triangle.

To find: $l^{2}=$

Step-by-step explanation:

By Pythagorean theorem, we can write,

$\quad l^{2}+m^{2}=n^{2}$

Adding $(-m^{2})$ to both sides, we get

$\quad l^{2}+m^{2}-m^{2}=n^{2}-m^{2}$

$\Rightarrow l^{2}=n^{2}-m^{2}$

Answer: $\boxed{l^{2}=n^{2}-m^{2}}$