Question

The area of the obtuse angle triangle shown below is:

• A. 17.5 sq. units
• B. 25 sq. units
• C. 14 sq. units
• D. 15 sq. units

Answer 1

The correct option is C

14 sq. units

Calculating the height of the triangle using Pythagoras theorem, we get
$h^2=5^2-3^2$
$\Rightarrow h^2=25-9$
$\Rightarrow h^2=16$
$\Rightarrow h=4units$

Area of the triangle, $A=\frac{1}{2}\times b\times h$
$\Rightarrow A=\frac{1}{2}\times 7\times 4$
$\Rightarrow A=14unit{s}^2$