Question

Two sides triangle are 22 cm and 12 CM perimeter of the triangle is 56 cm find its 3rd side

Answer 1

Answer:

Let the sides of triangle be a,b,c

Given one side is a=9 cm

Perimeter of triangle is 2s=22 cm

⟹a+b+c=22

⟹b+c=22−9

⟹b+c=13⋯(1)

Difference between the two sides is 3 cm

⟹b−c=3⋯(2)

(1)+(2)⟹b+c+b−c=13+3⟹2b=16⟹b=8

Substituting b=8 in (1)

⟹8+c=13⟹c=5

As we know that

Area of triangle with sides a,b,c is

s(s−a)(s−b)(s−c)

2s=22⟹s=11

So area is

11×(11−9)×(11−8)×(11−5)

=

11×2×3×6

=6

11

cm

2

Answer 2

Answer :

The third side of triangle is 22cm.

Step-by-step explanation :-

To Find,

• The side of triangle

Solution,

Figure,

• Refer the attachment.

Given that,

• Perimeter of triangle = 56cm
• Two sides of triangle are = 22cm and 12cm

As we know that,

Perimeter of triangle = a + b + c

Where,

• a, b and c are the three sides of triangle

Let us assume the third side as c,

ACCORDING THE QUESTION,

➦ a + b + c = Perimeter of ∆

➦ 22 + 12 + c = 56

➦ 34 + c = 56

➦ c = 56 - 34

➦ c = 22

The third side is 22cm.

Now, Verification

➧ 22 + 12 + 22 = 56

➧ 44 + 12 = 56

➧ 56 = 56

L.H.S = R.H.S

Hence, Verified !