Question

Two side of a triangle are 13cm,14cm if its semi perimeter is 18cm. Find the three side of a triangle

Answer 1

Answer:

Semi-perimeter = 18 cm

Find Perimeter:

Perimeter = Semi-perimeter x 2

Perimeter = 18 x 2 = 36 cm

Find the third sides:

Perimeter = side 1 + side 2 + side 3

36 = 13 + 14 + x

x = 36 - 13 - 14

x = 9 cm

Answer: The third side is 9 cm....

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Answer 2

Given,

The two sides of a triangle are 13cm and 14cm.

and the semi perimeter of the triangle is 18cm.

then, the third side = ?

Let a,b,c be the sides of triangle.

Let us take, a = 13cm, b = 14cm c = xcm

As we know that semi perimeter is half of the sum of sides of triangle.

S = a+b+c/2

18 = 13+14+x/2

18×2 = 27+x

36-27 = x

x = 9 cm

Therefore the third side of the triangle is 9cm.