Question

4. The semi perimeter of a triangle exceeds each of its side by 5, 3 and 2 respectively. What is the
perimeter of the triangle?
(1) 12
(2) 10
(3) 15
(4) 20
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Answer 1

Answer:

perimeter 20

Step-by-step explanation:

If we assume the semi perimeter= x ……….(1)

As per the conditions..

1st side = x-5

2nd side = x -3

3rd side = x-2

=> perimeter = x -5 + x-3 + x-2

=> perimeter = 3x - 10

=> semiperimeter =( 3x -10)/2 ………….(2)

By (1) & (2)

(3x-10)/2 = x

=> 3x -10 = 2x

=> x = 10

Hence , perimeter = 2x = 20

Perimeter = 20

Answer 2

Answer:

20 units

Step-by-step explanation:

$\frac{a+b+c}{2} = a+5 -----------(1)$

$\frac{a+b+c}{2} = b+3 --------(2)$

$\frac{a+b+c}{2} = c+2 ----------(3)$
adding (1) (2) (3)
$\frac{3(a+b+c)}{2} = a+b+c+5$
let a+b+c = p

$\frac{3p}{2} = p+10$

$\frac{p}{2} = 10$
∴ p = 20 units