Question

What is the area of the triangle
shown below?
21
16

Answer 1

108.8 square fit will be the answer

Answer 2

108.8 square units

Explanation:

Area of triangle:

To find the area of triangle, we should know the height and base.

Here, in this triangle base is 16. We need to find the height using Pythagorean theorem. We can use Pythagorean theorem, as the given triangle is right angled triangle.

`\sf base^2 +altitude^2 =hypotenuse^(2)`

`\sf 16^2 + altitude^2 = 21^2\\\\`

256 +altitude² = 441

altitude² = 441 - 256

= 185

altitude = √185 = 13.6

`\sf \boxed{\text{\bf Area of triangle =$(1)/(2)*base*height$}}`

`\sf= (1)/(2)*16*13.6`

= 8 * 13.6

= 108.8 square units