Question

In a right angle triangle one angle is 30° and length of the hypotenuse is 24cm. What is the area of the triangle

Answer 1

Answer:

$\large\boxed{\sf{72\sqrt{3}\;{cm}^{2}}}$

Step-by-step explanation:

Given right angled triangle .

One of the angle is 30°.

Length of hypotenus = 24 cm

To find rhe area.

First we need to find the perpendicular and base.

Now, the other two sides, i.e., perpendicular and base of the triangle will be (24 sin30) cm and (24 cos30) cm.

Therefore, we will get,

=> Perpendicular = 24 sin30 = 24 × 1/2 = 12 cm

=> Base = 24 cos30 = 24 × √3/2 = 12√3 cm

Now, we know that, area of a right angled triangle is given by the formula,

=> Area = ½ × perpendicular × base

=> Area = ½ × 12 × 12√3

=> Area = 6 × 12√3

=> Area = 72√3

Hence, the required area is 72√3 sq. cm