Question

Two sides of a triangular field are85m and 154m in length and its perimeter us 324m.find the erea of the field and the length of the perpendicular from the opposite vertex on the side measuring 154m

Answer 1

he answer hoga Bhai..............
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Answer 2

Answer,

Given,

First side of the triangular field = 85 m

Second side of the triangular field = 154 m

Let the third side be "x" ,

Perimeter of the triangular field = 324 m

85 m + 154 m + x = 324 m

x = 324 – 239

x = 85 m

Let the three sides of the triangle be:
a = 85 m, b = 154n m and c = 85 m

Now,

a = 1/2 (a + b + c)

(85 + 154 + 85) / 2

324/2 => 162

We know that,
Area of triangle = √s (s-a) (s-b) (s-c)

√162 × 77 ×8 × 77

√2 × 9 × 9 × 11 × 2 ×2 × 2 × 7 × 11

= √11 × 11 × 9 × 9 × 7 × 7 ×2 × 2 × 2 × 2

11 × 9 × 7 × 2 × 2 =>> 2711 m²

We know that,

Area of Δ = 1/2 × base × height

2772 = 1/2 × 154 × h

2772 = 77 h

h = 2772 / 77

h = 36 m !!

Therefore,

The length of the perpendicular from the opposite vertex on the side measuring 154 m is 36 m. !!

Thanks!!