Question
In a right angle triangle one of the perpendicular side is 4cm longer than the other side The area of the triangle is 96 sq cm Find the length of the 3 sides of the triangle.
In a right angle triangle one of the perpendicular side is 4cm longer than the other side The area of the triangle is 96 sq cm Find the length of the 3 sides of the triangle.
Answers & Comments
Answer:
one side =12cm, second side 16cm , third side=20cm
Step-by-step explanation:
Let one perpendicular side be x cm
so, other perpendicular side be (x+4) CM
area= 96cm²
We know that area of triangle= 1/2×base×height
1/2×(x)×(x+4)=96
x(x+4)=192
x²+4x-192=0
x²+16x-12x-192=0
x(x+16)-12(x+16)=0
(x+16)(x-12) =0
x+16=0 or x-12=0
x=-16 or 12
x=12
one perpendicular side=12cm
other perpendicular side=12+4=16 CM
hypotenuse=√[(12)² +(16)²]
hypotenuse=√(144+256)
hypotenuse=√400
hypotenuse=20cm