Construct a △ABC in which BC=4.8 cm,∠B=45o and ∠C=75o. Measure ∠A.

Question

Construct a △ABC in which BC=4.8 cm,∠B=45o and ∠C=75o. Measure ∠A.

Filo · Accepted Answer

Step of Construction:Construct line segment BC=4.8 cmConsidering B as centre and any radius, construct an arc which  intersects BC at pint PConsidering P as centre same radius, construct an arc which intersects the previous arc at the point QConsidering Q as centre same radius, construct an arc which intersects the arc in step 2 at the point RConsidering R and Q as centre and radius more than half of RQ, construct intersecting each other at the point SJoin BS which intersects the arc in step 2 at the point G so ∠SBC=90o Considering P as centre and radius more than half of PG, construct an arcConsidering G as centre and same radius, construct an arc which intersects the previous arc at the point XJoin B and extend it so ∠B=45oDraw ∠TCB=90oConsidering M and H as centres and radius more than half of MH, construct arcs which intersect each other at point yJoin CY and extend it so ∠C=75oBX and is the required at point after extending   So △ABC is the required triangleTherefore, ∠A=60o

Question Text	Construct a $△ A BC$ in which $BC = 4.8 c m, ∠ B = 4 5^{o}$ and $∠ C = 7 5^{o}$ . Measure $∠ A$ .
Answer Type	Text solution:1
Upvotes	150

Construct a $△ A BC$ in which $BC = 4.8 c m, ∠ B = 4 5^{o}$ and $∠ C = 7 5^{o}$ . Measure $∠ A$ .

Text solutionVerified

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