Question

if the perimeter of a triangle is 6p + 10q and the two sides are 3p + 4q and p + 3q, then find
its third side.
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Answer 1

${\huge{\boxed{ \underline{ \bf{\color{turquoise}{Answer:}}}}}}$

To Solve:

• Find the 3ʳᵈ Side

Given:

• Perimeter of triangle: 6p + 10q
• Two sides are 3p + 4q and p + 3q

Solⁿ:

• Add the two sides
• Subtract the sum from the perimeter and you will get the 3ʳᵈ side

★ Adding

ㅤㅤ3pㅤㅤㅤ+ㅤㅤㅤ4q

ㅤㅤ1pㅤㅤㅤ+ㅤㅤㅤ 3q

ㅤ= 4p + 7q

★ Subtracting

ㅤ6pㅤㅤ+ㅤㅤ10q

± 4pㅤㅤ±ㅤㅤ7q

= 2p + 3q

=> 2p + 3q is the 3rd side

HOPE IT HELPS

MARK BRAINLIEST PLS :)