if one side of triangle is 50 then what is the value of x
?
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65
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Step-by-step explanation:
The perimeter of a triangle is 50cm. One side of the triangle is 4cm longer than the smaller side and the third side is 6cm less than twice the smaller side. Find the area of the triangle.
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ANSWER
Let the smallest side of the triangle be x cm long
So, second side =(x+4)cm
and third side =(2x−6)cm
Given, perimeter =50cm
Therefore, x+(x+4)+(2x−6)=50
⇒4x=52
⇒x=13cm
So, first side of the triangle is 13cm, second side be 17cm and third side is 20cm.
Now, semi-perimeter of the triangle =
2
13+17+20
=25cm
Therefore, area of Δ=
s(s−a)(s−b)(s−c)
=
25(25−13)(25−17)(25−20)
=
25×12×8×5
= 20
30
cm
2
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