Question

EXAMPLE 3
(14 X 6X
Hence, the area of the given triangle is 1344 cm
The lengths of the sides of a triangle are in the ratio 3: 4:5 and its
perimeter is 144 cm. Find (i) the area of the triangle and (ii) the
height corresponding to the longest side.
Perimeter = 144 cm and ratio of sides = 3:4:5​

Answer 1

Answer:

★ Hey dear, here is your answer

given.......

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Step by step explanation:

Given:-

Sides in ratio = 3: 4: 5

Perimeter = 144 cm

At first, we have to find it's sides.

Let the sequence of sides = x

=> 3x, 4x, 5x

Perimeter = [ Side + Side + Side ]

=> 3x + 4x + 5x = 144 cm

=> 12x = 144 cm

=> x = 144/12

So, value of x = 12 cm

1st side = 3x = 3 × 12 = 36 cm

2nd side = 4x = 4 × 12 = 48 cm

3rd side = 5x = 5 × 12 = 60 cm

(¡) Find area:-

By Herons formula:-

Area = √S ( S - A ) ( S - B ) ( S - C )

[ There S = Semi perimeter ]

S = Perimeter / 2 = 144 /2 = 72 cm

Area = √S ( S - A ) ( S - B ) ( S - C )

Area= √72 ( 72 - 36 ) ( 72 - 48 ) ( 72-60 )

Area = √72 ( 36 ) ( 24 ) ( 12 )

Area = √72 × 36 × 24 × 12

Area = √ 746496

Area = 864 cm^2 ( answer )

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Answer 2

Answer:

864 cm^2 this is your answer hope it works