Construct a △ABC in which BC=5 cm,AB=3.8 cm and AC=2.6 cm. Bisect the largest angle of this triangle.

Question

Construct a △ABC in which BC=5 cm,AB=3.8 cm and AC=2.6 cm. Bisect the largest angle of this triangle.

Filo · Accepted Answer

Step of Construction:Construct line segment AC=2.5 cmConsidering A as centre and radius 3.8 cm construct an arcConsidering C as centre and radius 5 cm construct an arc which intersects the previous arc at the point BJoin the point AB and BCSo we get △ABCFrom the figure we know that BC is the largest side of the triangleBC=5 cmWe know that ∠A is the largest angleConsidering A as centre and any radius, construct and arc which intersects AB at point P and AC at point QConsidering P as centre and radius more than half of PQ, construct an arcConsidering Q as centre and same radius, construct an arc intersecting the previous arc at the point RJoin AR and extend itTherefore, ∠A is bisected by the ray AR.

Question Text	Construct a $△ A BC$ in which $BC = 5 c m, A B = 3.8 c m$ and $A C = 2.6 c m$ . Bisect the largest angle of this triangle.
Answer Type	Text solution:1
Upvotes	150

Construct a $△ A BC$ in which $BC = 5 c m, A B = 3.8 c m$ and $A C = 2.6 c m$ . Bisect the largest angle of this triangle.

Text solutionVerified

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