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P, Q, R are the mid- points of AB, BC, AC res, If AB = 10cm, BC = 8cm, AC = 12cm, Find the perimeter of △PQR.
- a)15.5cm
- b)14cm
- c)15cm
- d)13cm
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
P, Q, R are the mid- points of AB, BC, AC res, If AB = 10cm, BC = 8cm,...
QR=1/2(AB) (mid point theorem)
PR= 1/2(AC) (mid point theorem)
PQ=1/2(BC) (mid point theorem)
PQ+QR+PR
4+5+6
15cm
hence, option 'C' is correct
PR= 1/2(AC) (mid point theorem)
PQ=1/2(BC) (mid point theorem)
PQ+QR+PR
4+5+6
15cm
hence, option 'C' is correct
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Community Answer
P, Q, R are the mid- points of AB, BC, AC res, If AB = 10cm, BC = 8cm,...
Given: P, Q, and R are the midpoints of sides AB, BC, and AC of triangle ABC, respectively.
We know that:
- AB = 10 cm
- BC = 8 cm
- AC = 12 cm
Step-by-Step Solution
- Calculate the Perimeter of ΔABC:The perimeter of ΔABC is given by the sum of its sides:AB + BC + AC = 10 cm + 8 cm + 12 cm = 30 cm
- Determine the Perimeter of ΔPQR:Since P, Q, and R are midpoints, ΔPQR is similar to ΔABC with a ratio of 1:2.Therefore, the perimeter of ΔPQR is half of the perimeter of ΔABC:Perimeter of ΔPQR = (1/2) × 30 = 15 cm
The perimeter of ΔPQR is 15 cm.
Correct option: c) 15 cm
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P, Q, R are the mid- points of AB, BC, AC res, If AB = 10cm, BC = 8cm, AC = 12cm, Find the perimeter ofPQR.a)15.5cmb)14cmc)15cmd)13cmCorrect answer is option 'C'. Can you explain this answer?
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