Question

Two sides of a triangle are 6 cm and 5 cm, and the semi perimeter is 10 cm. Then the third side of a triangle is:

Answer 1

Answer:

$first \: side \: of \: triangle = 6cm \\ second \: side \: of \: triangle = 5cm \\ third \: side \: of \: triangle = xcm \\ perimeter = semi \: perimeter \times 2 \\ = 10 \times 2 \\ = 20cm \\ according \: to \: the \: question \\ \frac{6 + 5 + x}{2} = \frac{20}{2} \\ 11 + x = \frac{20}{2} \times 2 \\ 11 + x = 20 \\ x = 20 - 11 \\ x = 9$

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Answer 2

Semi perimeter is a+b+c/2
So in this case 6+5+x/2.....(we have taken 3rd side as x)
Given- semi perimeter =10cm
Therefore 10cm =6+5+x/2
11+x/2=10cm
11+x=20cm
x=20-11
x=9