Question

If the largest side of an isosceles
right-angled triangle is 4 cm. then, the
length of the equal sides is​

Answer 1

Answer:

The length will be same ...that is 4 cm ...

.

.hope it helps uhhh mate ..........

Answer 2

• Given:

The largest side of an isosceles right-angled triangle is 4 cm.

In a right angles triangle, the largest side is called the hypotenuse.

As it is an isosceles right-angled triangle,

So, two other sides will be equal.

• To be found:

The length of the equal sides.

So,

Let the other two equal sides of the triangle be x cm.

Here, the other two sides of the right-angled triangle are base and perpendicular.

Thus, Base = Perpendicular = x each

$\boxed{\bf Pythagoras\ Theorem}$

$\implies \tt (Hypotenuse)^{2} = (Base)^{2} + (Perpendicular)^{2}$

⇒ (4)² = x² + x²

⇒ 16 = 2x²

⇒ 16 ÷ 2 = x²

⇒ 8 = x²

⇒ √8 = x

∴ x = 2√2 cm

Hence,

The other two equal sides length of an isosceles right-angled triangle is 2√2 cm.