A triangle is a 3-sided geometric figure and has 3 angles. There are different types of triangles based on the lengths of the sides and their angles. A right angled triangle is a triangle which has one of the 3 angles as 90°. The area of a right angled triangle is the region covered inside a right triangle.
Example 1: Calculate the area of the right angled triangle if the length of the base is 4m and its hypotenuse is 5m.
Given the length of the base of the triangle, b = 4m.
Given hypotenuse of the triangle, c = 5m.
By using the Pythagorean theorem we can get the height.
a2 + b2 = c2
a2 + (4)2 = (5)2 ==> a = √25 – 16 = 3m
Height of the triangle = 3m
Area of the triangle, A = 1/2 * base * height
Area, A = 1/2 * 4m * 3m = 6m2
Hence, area of the right triangle, A = 6m2
Example 2: Calculate the area of a right triangle which has base length of 12.5m and height
Given are the base length, b and height of the triangle, h.
The area of the right angled triangle, A = 1/2 *(base)* (height).
The value of b = 12.5m, h = 10m
This makes the solution, Area of the right triangle, A = 1 /2 * 12.5m * 10m = 62.5m2
Therefore, area of the given right triangle is 62.5m2