Question

What is the area of the rhombus ABCD, if AC = 6 cm and BE = 4 cm?​

Answer 1

1/2 ×6×4=12cm.
i hope it helps you

Answer 2

24$cm^{2}$

• A rhombus can be made out of two equilateral triangles. It can make out of a larger number of isosceles triangles.
• A rhombus is formed when two equal triangles are linked together at their third unequal sides as isosceles triangles.
• However, we get a kite if the two equal triangles are isosceles and links at equal edges.
• We obtain a kite when two identical scalene triangles are linked at their common sides.
• A rhombus will form when two isosceles right-angled triangles connected at the hypotenuse.
• A kite is formed when two right-angled triangles are linked at their hypotenuse.
• When two right-angled triangles are connected on a common side other than the hypotenuse, the result is a big triangle.

Area of the triangle ABC= $\frac{1}{2}$bh

b= 4cm

h=  6cm

Substitute in the formula,

Area = $\frac{1}{2}$ * 4* 6

        = 4*3

        = 12$cm^{2}$

Area of the rhombus = 2* Area of the triangle ABC

                                   = 2*12

                                   = 24$cm^{2}$

Area of the rhombus ABCD = 24$cm^{2}$