Question

a triangle has sides 35cm, 54cm and 61cm Long. find its area. also find the smallest of its altitudes​

Answer 1

Answer:

Step-by-step explanation:hiii!!!

here's ur answer...

given the sides of the triangle are 35cm, 54cm and 61cm.

semi perimeter of the triangle = ( 35 + 54 + 61 )/2

= 150/2

= 75cm

let the sides of the triangle be a, b and c.

the smallest side of this triangle is 35cm.

let it be the base.

therefore 1/2 × b × h = 939.14cm²

==> 1/2 × 35 × h = 939.14cm²

==> 17.5 × h = 939.14cm²

==> h = 939.14/17.5

==> h = 53.66cm (approx)

hence the altitude of the triangle by taking the smallest side as base is 53.66cm.

hope this helps..!!