the length of a side of a traingle are in ratio 3:4:5.find the area of a traingle if its perimeter is 144 cm.
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NidhraNair:
cool! :)
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✔️The length of sides of the triangle is the ratio 3 : 4 : 5.
✔️Perimeter = 144cm
⇒ 3x + 4x + 5x =144
⇒ 12x =144
⇒ x =12cm
∴ shortest side = 3x = 3 ×12 = 36cm
✔️side of medium length = 4x = 4 × 12 = 48cm
longest side = 5x = 5 ×12 = 60cm
✔️s = semi-perimeter of Δ 144/2= 72cm
➖➖Using, heron's formula, area of Δ
➖➖⏹Refer attachment⏹➖➖
✔️Hence, the height of triangle corresponding to longest side is 28.8 cm.
✔️Perimeter = 144cm
⇒ 3x + 4x + 5x =144
⇒ 12x =144
⇒ x =12cm
∴ shortest side = 3x = 3 ×12 = 36cm
✔️side of medium length = 4x = 4 × 12 = 48cm
longest side = 5x = 5 ×12 = 60cm
✔️s = semi-perimeter of Δ 144/2= 72cm
➖➖Using, heron's formula, area of Δ
➖➖⏹Refer attachment⏹➖➖
✔️Hence, the height of triangle corresponding to longest side is 28.8 cm.
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thanks :)
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