Question

If the hypotenuse of a right triangle is 2 cm and one leg is √ 3 cm, the exact length of the other leg is _______ cm.


A. √ 3
B. 1
C. 3
D. 4

Answer 1

The exact length of the other leg is B. 1 cm.

Answer 2

Answer:

The length of the other leg is 1 cm.

Step-by-step explanation:

By using the pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

As given

If the hypotenuse of a right triangle is 2 cm and one leg is √ 3 cm.

Let us assume that the unknown length be x.

Thus

2² = Perpendicular² + Base²

$4^{2}= (\sqrt{3})^{2} + x^{2}$

$(\sqrt{3})^{2} = 3$

4 = 3 + x²

x² = 4 -3

$x = \sqrt{1}$

x = 1 cm

Therefore the length of the other leg is 1 cm.