Answer:
Area of given triangle is 939.15cm² and smallest altitude is 30.8cm
<h3>Solution:</h3>We are given three sides of a triangle, Let the sides be :
- ( a ) = 35 cm
- ( b ) = 54 cm
- ( c ) = 61 cm
We can find the area of the triangle with its three sides using Heron's Formula
- <u>Heron's </u><u>Formula</u>
Heron's formula was founded by hero of Alexandria, for finding the area of triangle in terms of the length of its sides. Heron's formula can be written as:
where ( s ) :
Therefore, for the given triangle first we will calculate ( s )
Now, Area of triangle will be:
Also, we have to find the smallest altitude, and the smallest altitude will be on the longest side. So,