1.

The difference between the sides of the right angled triangle is 14 cm.THe area of the triangle is 120cm square.find the perimeter of the triangle

Answer»

When the area is 120 CM And the formula for area is 1/2 X BASE x height.
So when we do half of 120 we get 60.
The only numbers where the differences is 14 of the sides in the triangle are 5 and 12.
Even their difference is seven and their product is 60.
So we have sides 5 and 12.
Now we need the length of the other side (the REMAINING one).
To find that length we have to find the hypotenuse whose formula is Square of a side + Square of b side = Square of c side
= Square of 5+ square of 12 =the remaining side
= 25+144=169( Square of 13)
The length of the remaining side is 13.
Perimeter of triangle= sum of all sides
= 5 +12+13
= 30


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