Find the area of a triangle with legs that are: 15 m, 25 m, and 20 m.

The area of a triangle with legs that are 15 m, 25 m, and 20 m is

Further Explanation; Area  Area is a measure of how much space is occupied by a given shape. Area of a substance is determined by the type of shape in question.

For example;

Area of a rectangle is given by; Length multiplied by width Area of a circle = πr². where r is the radius of a circle, Area of a square = S², Where s is the side of the square.etc. Area of a triangle  The area of a triangle is given based on the type of the triangle in question. Right triangle.

The area of a right triangle is given by;

                    =  1/2 x base x height

Scalene triangleIt is a triangle that with sides and angles that are not equal.Area of a scalene triangle depends on the features of the triangle given.

For example;

Sine FormulaArea of a triangle = 1/2 ab sin θ, when given two sides of the triangle and the angle between them Heron's formulaArea of a triangle = when given all the sides of the triangle.  

            where

In this case we are given, a = 15 m, b = 25 m, c = 20 m

Therefore, we use the Heron's formula;  

Area=  

 

Therefore;

Area =  

       =  

       =

Keywords: Area, Area of a triangle, Heron's formula, Sine formula, Scalene triangle.

Learn more about: Perimeter: Area: Area of a triangle: Heron's Formula: Sine Formula:

Level: Middle school

Subject; Mathematics  

Topic: Area  

Sub-topic: Area of a triangle