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Construct a ABC in which A =45^o, C=60^o and the perpendicu

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Construct a $△ A BC$ in which $∠ A = 4 5^{o}, ∠ C = 6 0^{o}$ and the perpendicular from the vertex $A$ to base $BC$ is $4.5 c m$ .

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Benjamin Discussed

Construct a

△ A BC

in which

∠ A = 4 5^{o}, ∠ C = 6 0^{o}

and the perpendicular from the vertex

A

to base

BC

4.5 c m

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

Step of Construction:

Construct a line

X Y

Considering a point

P

on the line

X Y

and draw

PQ

perpendicular to the line

X Y

Along with

PQ

set off

P A = 4.5 c m

From the point

A

, construct

L M

parallel to

X Y

Draw

∠ L A B = 4 5^{o}

and

∠ M AA C = 6 0^{o}

which meets the line

X Y

at the points

B

and

C

Therefore,

△ A BC

is the required

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Question Text	Construct a $△ A BC$ in which $∠ A = 4 5^{o}, ∠ C = 6 0^{o}$ and the perpendicular from the vertex $A$ to base $BC$ is $4.5 c m$ .
Answer Type	Text solution:1
Upvotes	150

Construct a △ABC in which ∠A=45o, ∠C=60o and the perpendicular from the vertex A to base BC is 4.5 cm.

Text solutionVerified

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Construct a $△ A BC$ in which $∠ A = 4 5^{o}, ∠ C = 6 0^{o}$ and the perpendicular from the vertex $A$ to base $BC$ is $4.5 c m$ .