Triangles

Question 8In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM =...

Question 1In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Show that :(i) OB = OC(ii)...

Question 6Δ ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. Show that ∠BCD is a right angle.

Question 7ABC is a right angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.

Question 2AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that(i) AD bisects BC(ii) AD bisects ∠A

Question 3Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of Δ PQR. Show that :(i) Δ...

Question 4BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.

Question 5ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that ∠B = ∠C.