Question

Perimeter of a triangle is 480 cm and its sides are in the ratio 10:8:6. Find the area of the triangle without using herons formula

Answer 1

Answer:

World's easiest problem

Step-by-step explanation:

Firstly, I find the measure of the sides of the triangle,

ratio of the sides =10:8:6.

(Let the common factor in the ratio be X,)

then,

10x+8x+6x = 480,

24x = 480,

then,

x = 20,

And now, measurement of side(1) = 10x = 200 cm,

Side(2) = 8x = 160 cm,

side(3) = 6x = 120 cm.

Now, it can see that all the three sidee are in the form of A²+ B²= C²,

Then, By the converse of the famous Phythagoras Theorem,

Thus triangle is right triangle,

And the largest side, i.e. the hypotenuse, is one which measures 200 cm,

Then, the largest angle, i.e. the right angle, is just opposite to the largest side,

Then, Definitely the other two sides are the height and base,

Now, Area of any triangle= 1/2 * Base* Height,

then, area of this traingle = 1/2 * 160* 120

= 80 * 120,

= 9600 cm².

NOW, THAT'S THE CORRECT ANSWER.