Answer:
108.8 square units
Step-by-step 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.
[tex]\sf base^2 +altitude^2 =hypotenuse^{2}[/tex]
[tex]\sf 16^2 + altitude^2 = 21^2\\\\[/tex]
256 +altitude² = 441
altitude² = 441 - 256
= 185
altitude = √185 = 13.6
[tex]\sf \boxed{\text{\bf Area of triangle =$\dfrac{1}{2}*base*height$}}[/tex]
[tex]\sf= \dfrac{1}{2}*16*13.6[/tex]
= 8 * 13.6
= 108.8 square units
