Question

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The lengths of the diagonals of a rhombus are 24 cm and 32 cm. Calculate the length of the altitude of the rhombus




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Answer 1

$\bf {Solution}$

The diagonals of a rhombus bisect each-other at right angles,with the side of the rhombus being the hypotenuse. Half the lengths of the diagonals AO = 12 cm , BO = 16 cm. and the hypotenuse (AB) in right triangle ABO in rhombus ABCD.

Using Pyhagoras Theorem for the right-angled triangle ABO,

h² = 12² + 16² = 400.

∴ The length of the side of the rhombus is 20 cm.

Area of a rhombus = ½ × d1 × d2

Are of a rhombus = base × height

∴ Comparing both formulas

½ × 24 × 32 = 20 × h (base is side of the rhombus)

∴ H = 19.2 cm.

Answer 2

Answer:

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Step-by-step explanation:

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