In Delta ABC,P,Q,and R are the midpoints of A | vedclass

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(B) In $	riangle ABC$,$P$,$Q$,and $R$ are the midpoints of sides $AB$,$BC$,and $CA$ respectively.According to the Midpoint Theorem,the line segment j

Vedclass · Accepted Answer

$10$

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(B) In $	riangle ABC$,$P$,$Q$,and $R$ are the midpoints of sides $AB$,$BC$,and $CA$ respectively.According to the Midpoint Theorem,the line segment joining the midpoints of two sides of a triangle is parallel to the third side and half of its length.Therefore,$PQ = \frac{1}{2} AC = \frac{1}{2} 	imes 5.4 	ext{ cm} = 2.7 	ext{ cm}$.Similarly,$QR = \frac{1}{2} AB = \frac{1}{2} 	imes 8 	ext{ cm} = 4 	ext{ cm}$.And,$RP = \frac{1}{2} BC = \frac{1}{2} 	imes 6.6 	ext{ cm} = 3.3 	ext{ cm}$.The perimeter of $	riangle PQR = PQ + QR + RP$.Perimeter $= 2.7 	ext{ cm} + 4 	ext{ cm} + 3.3 	ext{ cm} = 10 	ext{ cm}$.

In $\Delta ABC$,$P$,$Q$,and $R$ are the midpoints of $AB$,$BC$,and $CA$ respectively. If $AB = 8 \text{ cm}$,$BC = 6.6 \text{ cm}$,and $CA = 5.4 \text{ cm}$,then find the perimeter of $\Delta PQR$ in $\text{cm}$. (in $.0$)

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