Math, asked by maltidevirai, 10 months ago

two sides of a triangle field are 85m and 154m in lenght and it's perimeter is 324m find (i) the area of the field and (ii) the lenght of the perpendicular from the opposite vertex on the side measuring 154 m​

Answers

Answered by unicorn276
2

Step-by-step explanation:

It is given that two sides of a triangular field are 85m and 154m

Consider the third side as x m

It is given that the perimeter =324m

We can write it as

85+154+x=324

On further calculation we get

x=324−85−154

By subtraction

x=85m

Consider a=85m,b=154mandc=85m

We know that

S=

2

a+b+c

S=

2

85+154+85

By division

S=162m

We know that

Area

s(s−a)(s−b)(s−c)

By substituting the values

Area=

162(162−85)(162−154)(162−85)

So we get

Area=

162×77×8×77

It can be written as

Area=

2×9×9×7×11×2×2×2×7×11

On further calculation

Area=

11×11×9×9×7×7×2×2×2×2

We get

Area=11×9×7×2×2

By multiplication

Area=2772m

2

We know that

Area of the triangle =1/2×b×h

By substituting the values

1/2×154×h=2772

On further calculation

77×h=2772

So we get

h=2772/77

By division

h=36m

Therefore, area of the field is 2772m

2

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

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