If two angles and a side of one triangle.

“If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent”. Is the statement true? Why?

Solution:

The given statement can be true only if the corresponding (included) sides are equal otherwise not.

In the given figure, AD is median of ∆ABC, BM and CN are perpendiculars drawn from B and C respectively on AD and AD produced. Prove that BM = CN.

Solution:

More Solutions:

• Show that ∆ABC ≅ ∆CDA.
• Show that O is the mid-point.
• ∠BCD = ∠ADC and ∠BCA = ∠ADB.
• ∠ABC = ∠ACB, D and E are points
• ABC is an isosceles triangle with AB=AC.
• Such that BA = DE and BF = EC.
• ABCD is a rectangle. X and Y are points.
• QX, RX are bisectors of angles.
• In each of the following diagrams.