Question

The perimeter of a triangle ABC is 62cm. If sides AB, BC and AC are respectively 19cm, 23cm and (x+5). Find the value of x​

Answer 1

Answer:

x=15cm

Step-by-step explanation:

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Answer 2

Answer:

The value of x is 15 cm

Step-by-step explanation:

Given :

• The perimeter of a triangle ABC is 62cm.
• If sides AB, BC and AC are respectively 19cm, 23cm and (x+5)

To find :

the value of x

Solution :

The lengths of the three sides :

AB = 19 cm

BC = 23 cm

AC = (x+5) cm

The perimeter of the triangle is equal to the sum of the lengths of three sides.

According to the question,

19 cm + 23 cm + (x + 5) cm = 62 cm

42 + x + 5 = 62

47 + x = 62

x = 62 – 47

x = 15

Therefore, the value of x is 15

__________________________

Verification :

finding the length of the third side.

AC = x + 5 = 15 + 5 = 20 cm

So, the lengths of the triangle ABC are 19 cm, 23 cm and 20 cm

19 cm + 23 cm + 20 cm = 62 cm

42 + 20 = 62

62 = 62

LHS = RHS

Hence proved!