The ratio of side of a triangle 3,4,5, and it perimeter 36. find the area of triangle.
Answers
Step-by-step explanation:
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given,∆ABC
sides are in the ratio 3:4:5
perimeter of ∆ABC=36
Let,
AB=3X , BC=4X , CA=5X
W.K.T(we know that)
perimeter of ∆= sum of all sides
36= AB+BC+CA
36= 3X+4X+5X
36= 12X
X=36/12
X= 3
SO,
Sides of ∆ are 9 ,12 ,15
∆ABC is rightangle triangle and right angle at B
Then,
area of ∆ ABC = (1/2)base× height
= (1/2) 9 × 12
= 9 × 6
= 54
hence are the area of ttriangleis 54 units