Area of a Rhombus: Using congruence and similarity

Question 1

ABCD is a rhombus.

Tiangle GFH is similar to triangle DEC.

GH = 12

FG = 9

ED = 2

Calculate the area of the rhombus.

Question 2

ABCD is a rhombus.

Triangle EFG is similar to triangle ABD by a ratio of 1:2.

The area of triangle EFG

is 14 cm².

DB = 8

Calculate the length of AC.

Examples with solutions for Area of a Rhombus: Using congruence and similarity

ABCD is a rhombus.

Tiangle GFH is similar to triangle DEC.

GH = 12

FG = 9

ED = 2

Calculate the area of the rhombus.

$5\frac{1}{3}$ cm²

ABCD is a rhombus.

Triangle EFG is similar to triangle ABD by a ratio of 1:2.

The area of triangle EFG

is 14 cm².

DB = 8

Calculate the length of AC.

28 cm