Question

The Base of a right angled triangle measure 48cm and it's hypotenuse measure 50cm . Find the area of the triangle​

Answer 1

Answer - Area of triangle = 336 cm²

Answer 2

Answer:

$\displaystyle{336 \ cm^2}$

Step-by-step explanation:

Given ;

Base of triangle is 48 cm .

Hypotenuse of triangle is 50 cm .

We have to find area of triangle .

First let's find perpendicular .

We have pythagoras theorem

$\displaystyle{H^2=P^2+B^2}$

Putting values here

$\displaystyle{50^2=P^2+48^2}\\\\\\\displaystyle{2500=P^2+2,304}\\\\\\\displaystyle{P^2=2500-2304}\\\\\\\displaystyle{P=\sqrt{196}}\\\\\\\displaystyle{P=14 \ cm}$

Now let find area of triangle ;

$\displaystyle{Area=1/2\times base \times height}\\\\\\\displaystyle{Area = 1/2\times48\times14}\\\\\\\displaystyle{Area=24\times14 \ cm^2}\\\\\\\displaystyle{Area = 336 \ cm^2}$

Thus we get area of triangle is  $\displaystyle{336 \ cm^2}$