Question

find the area of a rhombus each side of which measures 15 CM and one of whose diagonals is 20cm.​

Answer 1

Answer:

100$\sqrt{5}$ cm²

Step-by-step explanation:

side = 15 cm

diagonal = 20 cm

∴ length of other diagonal = 2( $\sqrt{15^{2} - (20 / 2)^{2}}$)

                                            = 2$\sqrt{225 - 100}$  

                                            = 2$\sqrt{125} = 10\sqrt{5}$ cm

area of rhombus = 1/2 * 20 cm * $10\sqrt{5}$ cm = 100$\sqrt{5}$ cm²