Question

prove that in an isosceles triangle angles opposite to equal side of a triangle are equal ​

Answer 1

if there is a triangle ABC ,then ab = 60cm bc=10cm and ca=60cm . now opposite triangle are ab and ca . So prove that ab =ca . it is isosceles triangle.

Answer 2

In ∆XYM and ∆XZM,

(i) XY = XZ

(ii) XM = XM

(iii) ∠YXM = ∠ZXM

2. ∆XYM ≅ ∆XZM

3. ∠XYZ = ∠XZY. (Proved)

Reason

1.

(i) Given.

(ii) Common side.

(iii) XM bisects ∠YXZ.

2. By SAS criterion.

3. CPCT