Question
Asked Nov 26, 2019
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If both a parallelogram and triangle have the same base and altitude, then the area of the parallelogram is twice the area of the triangle. True or false

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Expert Answer

Step 1

Given: If both a parallelogram and triangle have the same base and altitude, then the area of the parallelogram is twice the area of the triangle.

Step 2

As below, Parallelogram ABCD and ∆ABD are on the same base AB and the same altitude DE.

С
D
E
В
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С D E В

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Step 3

Now,

...
1
x Base x Height
2
The area of triange ABD(A) :
1
=-x ABx DE
2
Now, The area of parallelogram (A,) = Basex Height
= ABx DE
That is, A 24
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1 x Base x Height 2 The area of triange ABD(A) : 1 =-x ABx DE 2 Now, The area of parallelogram (A,) = Basex Height = ABx DE That is, A 24

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Tagged in

Math

Geometry

Triangles