Question

Find the height of a right angled traingle having an area of $49{\text{unit}}^2,$if the base of this traingle is 14 unit.

• A. 24 unit.
• B. 28 unit
• C. 7 unit
• D. 14 unit

Answer 1

The correct option is C 7 unit

Let the hieght of this traingle is $h$ units.

Given,
Area of this right angle traingle is $49{\text{unit}}^2$
Base of this right angle traingle $=14$ unit.

As we know,
Area of a right triangle $=\frac{1}{2}\times \text{base}\times \text{height}$.
$=\frac{1}{2}\times 14\times h=49$
$14h=49\times 2$

$h=\frac{98}{14}=7$ unit

Hence, height of this traingle is 7 unit.
Option (c) is correct.