Question

If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.

a) 15.8 cm
b) 14.2 cm
c) 12 cm
d) 19.2 cm​

Answer 1

Hello Carousel!

`\huge \boxed{\mathfrak{Question} \downarrow}`

If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.

a) 15.8 cm

b) 14.2 cm

c) 12 cm

d) 19.2 cm

`\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}`

Please refer to the attached picture for the answers with steps included.

NOTE :-

• The sides of a rhombus are equal to each other.
• The point of intersection of the diagonals (marked as O in the figure) forms 90° angles (which is why we used the pythagoras property to solve the question).
• Since 0 is the point of intersection, it's also the midpoint of the diagonals. (So, BO = ½ × BD & AO = ½ AC -- we used this to solve the question).

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Hope it'll help you!

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