The sides of a triangle are in the ratio 3:4:5 and its perimeter is 96cm. Then its area is
Answers
Answered by
5
Hi Brainly Mate!
Here is ur Answer!!
Answer:
= 12 × 32 = 384 cm2
Step-by-step explanation:
Let the sides of the triangle ABC be 4x, 5x and 3x
Let AB = 4x, AC = 5x and BC = 3x
Perimeter = 4x + 5x + 3x = 96
=> 12x = 96
⇒ X = 96/12
∴ x = 8
∴ Sides are
BC = 3(8) = 24 cm, AB = 4 (8) = 32 cm,
AC = 5(8) = 40 cm
Since, (AC)2 = (AB)2 + (BC)2
[∵ (5x)2 = (3x)2 + (4x)2 ]
∴ By Pythagorus Theorem, ∠B = 90°
∴ Area of ∆ ABC = 1/2 (BC) (AB) = 1/2 (24) (32)
= 12 × 32 = 384 cm2
Hope it will help uh!!☺
Answered by
3
Step-by-step explanation:
Let the sides of the triangle ABC be 4x, 5x and 3x
Let AB = 4x, AC = 5x and BC = 3x
Perimeter = 4x + 5x + 3x = 96
=> 12x = 96
⇒ X = 96/12
∴ x = 8
∴ Sides are
BC = 3(8) = 24 cm, AB = 4 (8) = 32 cm,
AC = 5(8) = 40 cm
Since, (AC)2 = (AB)2 + (BC)2
[∵ (5x)2 = (3x)2 + (4x)2 ]
∴ By Pythagorus Theorem, ∠B = 90°
∴ Area of ∆ ABC = 1/2 (BC) (AB) = 1/2 (24) (32)
= 12 × 32 = 384 cm2
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