Show that in an isoscels triangle ,angles opposite to equal sides are equal
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Step-by-step explanation:
Angles Opposite to Equal Sides of an Isosceles Triangle are Equal. Here we will prove that in an isosceles triangle, the angles opposite to the equal sides are equal. Given: In the isosceles ∆XYZ, XY = XZ. ... Construction: Draw a line XM such that it bisects ∠YXZ and meets the side YZ at M.
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Given:
Step-by-step explanation:
Given:isocelles triangle ABC
I.eAB=AC
TO PROVE:angle B=angleC
construction:Draw bisector of angle A intersecting
BCat D
PROOF::In ∆BAD and ∆CAD
AB=AC. (given)
∆BAD=∆CAD. (BY CONSTRUCTION)
AD=AD. (COMMON)
∆BAD=∆CAD. (By SAS congruence rule)
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