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ivanzaharov [21]
3 years ago
14

What is the area of the shaded triangle? 72 mm2 096 mm2 120 mm2 0 150 mm

Mathematics
1 answer:
stellarik [79]3 years ago
5 0

Answer:

96 on edg

Step-by-step explanation:

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Find the co-ordinates of the point of trisection of the line joining the points A(1,8) and B(4,2).
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<u>coordinates of the point are (2,6) and (3,4)</u>

Answer:

Solution given:

let the given point be A(1,8) and B(4,2).

P and Q are the two points on AB such that

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now

comparing AP and PB

AP=k

PB=2k

ratio of AP and PB =\frac{1k}{2k}= ratio 1:2

now

finding p

for this

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(x_1,y_1)=(1,8)

(x_2,y_2)=(4,2)

now by using division formula

(x,y)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})

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similarly

Q divides AB

Ratio of AQ and QB =\frac{2k}{1k}= ratio 2:1

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(x_2,y_2)=(4,2)

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by using division formula

(a,b)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})

=(\frac{2*4+1*1}{2+1},\frac{2*2+1*8}{2+1})=(3,4)

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Step-by-step explanation:

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