# 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

Question
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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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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.

Step 3

Now,

... help_outlineImage Transcriptionclose1 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 fullscreen

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### Triangles 