Construct a AABC in which BC =5 cm, AB = 3.8 cm and AC = 26 cm
Bisect the largest angle of this triangle
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10th
Maths
Constructions
Construction of Similar Triangles
Construct a ABC in which B...
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Construct a △ABC in which BC=5 cm,AB=3.8 cm and AC=2.6 cm. Bisect the largest angle of this triangle.
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Step of Construction:
Construct line segment AC=2.5 cm
Considering A as centre and radius 3.8 cm construct an arc
Considering C as centre and radius 5 cm construct an arc which intersects the previous arc at the point B
Join the point AB and BC
So we get △ABC
From the figure we know that BC is the largest side of the triangle
BC=5 cm
We know that ∠A is the largest angle
Considering A as centre and any radius, construct and arc which intersects AB at point P and AC at point Q
Considering P as centre and radius more than half of PQ, construct an arc
Considering Q as centre and same radius, construct an arc intersecting the previous arc at the point R
Join AR and extend it
Therefore, ∠A is bisected by the ray AR.
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