the perimeter of triangle is (17×-12) cm. its two sides are(×-5) cm and (7×+5) cm long. what is the length of third side.
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Answer:
Appropriate Question :
The perimeter of triangle is (17x -12) cm. Its two sides are (x-5) cm and (7x+5) cm long. What is the length of third side?
\sf {\to Answer : (9x - 12) \: cm }→Answer:(9x−12)cm
Given Information :
• Perimeter of triangle = (17x - 12) cm
• Length of two side = (x-5) cm and (7x+5) cm
To calculate :
• Length of the third side.
Calculations :
As we know what,
★ Perimeter of ∆ = Sum of all sides
→ Perimeter = First side + Second side + Third side
→ (17x - 12) = (x - 5) + (7x + 5) + Third Side
→ 17x - 12 = x - 5 + 7x + 5 + Third Side
→ 17x - 12 = x + 7x - 5 + 5 + Third Side
→ 17x - 12 = 8x + Third Side
→ 17x - 8x - 12 = Third Side
→ 9x - 12 = Third Side
Therefore,
Length of third side is (9x - 12) cm.
Verification :
★ Perimeter of ∆ = Sum of all sides
L.H.S ::
→ (17x - 12) cm
R.H.S ::
→ (x - 5) cm + (7x + 5) cm + (9x - 12) cm
→ (x - 5 + 7x + 5 + 9x - 12) cm
→ (x + 7x + 9x -5 + 5 - 12) cm
→ (17x + 0 - 12) cm
→ (17x - 12) cm
Therefore, L.H.S = R.H.S. Hence, verfied!
Step-by-step explanation:
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