Math, asked by Riyasubh, 1 year ago

sides of triangle are in the ratio 5:3:3. Perimeter is 110 cm. Find the area of triangle

Answers

Answered by proton1
67
side of triangle = 5x +3x+3x
=11x = 110
x =110/11
x = 10

side of triangle are
50 ,30,30
area by herons formula

s =110 /2
s=55

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Riyasubh: thank you
proton1: welcome
Answered by wifilethbridge
19

Answer:

414.578 square cm.

Step-by-step explanation:

We are given that sides of triangle are in the ratio 5:3:3

Let the ratio be x .

So, Sides will be 5x ,3x,3x

Since we are given that the perimeter of the triangle =110 cm

Perimeter of triangle = Sum of all side

So, 110= 5x+3x+3x

110 = 11x

So, x = 10

So, sides : a= 5*10 = 50 cm

b = 3*10 = 30 cm

c = 3*10 = 30 cm.

Now to find the area of triangle we will use heron's formula.

Area = \sqrt{s(s-a)(s-b)(s-c)}

Where s = \frac{a+b+c}{2}

a,b,c are the side lengths of triangle  

Now substitute the values :

s = \frac{50+30+30}{2}

s =55

Area = \sqrt{55(55-50)(55-30)(55-30)}

Area = 414.578

Hence the area of the triangle is 414.578 square cm.

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