(a) In figure (i) given below, BC = 5 cm,
∠B =90°, AB = 5AE, CD = 2AE and AC = ED. Calculate the lengths of EA, CD, AB and AC.
(b) In the figure (ii) given below, ABC is a right triangle right angled at C. If D is mid-point of BC, prove that AB2 = 4AD² – 3AC².
Solution:
More Solutions:
- If AD is extended to intersect BC at P, show that
- Show that AR > AQ.
- If O is any point in the interior of a triangle ABC.
- Construct a triangle ABC given that base BC = 5.5 cm.
- Which BC = 6.5 cm, ∠ B = 75° and ∠ A = 45°.
- Construct triangle ABC given that AB – AC = 2.4 cm.
- Prove that DBEF is a parallelogram.
- Prove that the four triangles.
- Prove that ∆DEF is also F, isosceles.
- If P is the mid-point of AD, prove that