The lengths of the two sides of a right triangle containing the right angle differ by 3 cm. If the area of the 2
triangle is 54 cm , find the perimeter of the triangle.
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The lengths of the two sides of a right triangle containing the right angle differ by 3 cm. If the area of the 2
triangle is 54 cm , find the perimeter of the triangle.
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Answer:
=24
Step-by-step explanation:
let triangle be ABC right angle at B then let the of AB=x cm
=length of BC=(x-2) cm
now area of triangle ABC =1/2×AB×BC
=24=1/2×××(×-2)
48= ×2-2×
x2-2x-48=0
×2-8×+6 (×-8)=0
×-8=0 or x+6=0
×=8 or ×= -6
×=8 cm =AB
x=8cm =AB
x-2= 8-2=6cm= BC
NOW third side , AC = AB2+BC2=64+36=10
hence perimeter= AB+BC+AC= 8+6+10 = 24cm