21. in the adjoining figure, D and E are midpoints of the sides BC and CA respectively of a triangle ABC, right angled at C. Prove that: (i) 4AD2 = 4AC2 + BC2 (ii) 4BE2 = 4BC2 + AC2
(iii) 4(AD2 + BE2) = 5AB2
21. in the adjoining figure, D and E are midpoints of the sides BC and CA respectively of a triangle ABC, right angled at C. Prove that:
(i) 4AD2 = 4AC2 + BC2
(ii) 4BE2 = 4BC2 + AC2
(iii) 4(AD2 + BE2) = 5AB2
16. (b) in the figure given below, ABC is a right angle triangle right angled at C. if D is the midpoint of BC, prove that AB2 = 4AD2 - 3AC2.
(i) prove that EFGH is a rectangle.
(ii) find the area and perimeter of EFGH.
15.(c) in the figure given above, angle D = 90°, AB = 16 cm, BC = 12 cm and CA = 6 cm. find CD.
Please do not provide any link.
Q.5. In the figure, given below, AB = AC. Prove that :