Question

the length of three sides of a triangle are 30 cm, 24 cm and 18 cm respectively . the length of the altitude of a triangle corresponding to the smallest side is please tell me fast

Answer 1

Please find the attachment

Answer 2

Given,

Lengths of three sides of a triangle = 30cm , 24cm and 18cm

To find,

The length of the altitude of a triangle corresponding to the smallest side.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Now,

Semi-perimeter of the triangle = (30+24+18)/2 = 36cm

So, the area of the triangle, will be -

= √36×(36-30)×(36-24)×(36-18) cm²

= √(36×6×12×18) cm²

= √46656 cm²

= 216 cm²

Now,

Let, the altitude of the triangle corresponding to the smallest side = x cm

Smallest side = 18 cm

In this case,

Area of the triangle = ½ × base × height = ½ × 18 × x = 9x cm²

Furthermore,

9x = 216

x = 216/9

x = 24 cm

Hence, the length of the altitude of a triangle corresponding to the smallest side is 24 cm