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In a parallelogram ABCD, it being that AB=10 cm and the altitu

Question

In a parallelogram $A BC D$ , it being that $A B = 10 c m$ and the altitudes corresponding to the sides $A B$ and $A D$ ate $D L = 6 c m$ and $BM = 8 c m$ , respectively. Find $A D$ .

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In a parallelogram

A BC D

, it being that

A B = 10 c m

and the altitudes corresponding to the sides

A B

and

A D

ate

D L = 6 c m

and

BM = 8 c m

, respectively. Find

A D

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Text solutionVerified

From the figure we know that

Area of the parallelogram

A BC D = ba se \times h e i g h t

So we get

A B \times D L = A D \times BM

By substituting the values in the above equation

10 \times 6 = A D \times BM

It is given that

BM = 8 c m

A D \times BM = 60 c m^{2}

A D \times 8 = 60

By division

A D = \frac{60}{8}

So we get

A D = 7.5 c m

Therefore,

A D = 7.5 c m

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Question Text	In a parallelogram $A BC D$ , it being that $A B = 10 c m$ and the altitudes corresponding to the sides $A B$ and $A D$ ate $D L = 6 c m$ and $BM = 8 c m$ , respectively. Find $A D$ .
Answer Type	Text solution:1
Upvotes	150