The lengths of the sides of a right triangle are a and b, and the hypotenuse is c. Find the area of the triangle.
b = 2 in.; c = 6 in.
A = sq. in.
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Eraser
a^2 + b^2 = c^2
a^2 + 2^2 = 6^2
a^2 + 4 = 36
a^2 = 32
a = 5.6569 = base
A = bh/2
A = (2 * 5.6569) / 2
A = 5.6569
To find the area of a right triangle, we can use the formula A = (1/2) * base * height. In this case, the base and height of the triangle can be any two sides of the triangle.
Given that b = 2 in. and c = 6 in., let's use b as the base and c as the height.
So, the area (A) of the triangle can be calculated as:
A = (1/2) * base * height
A = (1/2) * 2 in. * 6 in.
A = 6 in².
Therefore, the area of the triangle is 6 square inches.