Mathematics
In the figure given below, ABCD is a square of side 7 cm. If
AE = FC = CG = HA = 3 cm,
(i) prove that EFGH is a rectangle.
(ii) find the area and perimeter of EFGH.
Related Questions
In the adjoining figure, D and E are mid-points of the sides BC and CA respectively of a △ABC, right angled at C. Prove that :
(i) 4AD2 = 4AC2 + BC2
(ii) 4BE2 = 4BC2 + AC2
(iii) 4(AD2 + BE2) = 5AB2
AD is perpendicular to the side BC of an equilateral △ABC. Prove that 4AD2 = 3AB2.
In figure given below, AB || DC, BC = AD = 13 cm, AB = 22 cm and DC = 12 cm. Calculate the height of the trapezium ABCD.
In figure given below, AB || DC, ∠A = 90°, DC = 7 cm, AB = 17 cm and AC = 25 cm. Calculate BC.
