Calculate the area of a rhombus if its diagonals are 13 cm and 6 cm.

univerkov | September 4, 2021 | education

The diagonals of the rhombus at point O are halved and divide the rhombus into four equal right-angled triangles.

Then AO = AC / 2 = 13/2 = 6.5 cm.

BO = BD / 2 = 6/2 = 3 cm.

Then Savo = AO * ВO / 2 = 6.5 * 3/2 = 9.75 cm2.

Then Savsd = 4 * Savo = 4 * 9.75 = 39 cm2.

Answer: The area of the rhombus is 39 cm2.

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