-Using the drawing provided and fact that the area of a parallelogram is given by , show that the area of a triangle is given by .

Question

-Using the drawing provided and fact that the area of a parallelogram is given by  , show that the area of a triangle is given by  .

Quizplus · Accepted Answer

The Answer is For the parallelogram ( For the parallelogram ( ) with base length b and altitude length h, the area is given by . By the Area-Addition Postulate, . But diagonal of separates the parallelogram into 2 congruent triangles that have equal areas. By substitution, and by division (or multiplication), .

For the parallelogram ( ) with base length b and altitude length h, the area is given by . By the Area-Addition Postulate, . But diagonal of separates the parallelogram into 2 congruent triangles that have equal areas. By substitution, and by division (or multiplication), .

) with base length b and altitude length h, the area is given by For the parallelogram ( ) with base length b and altitude length h, the area is given by . By the Area-Addition Postulate, . But diagonal of separates the parallelogram into 2 congruent triangles that have equal areas. By substitution, and by division (or multiplication), .

. By the Area-Addition Postulate, For the parallelogram ( ) with base length b and altitude length h, the area is given by . By the Area-Addition Postulate, . But diagonal of separates the parallelogram into 2 congruent triangles that have equal areas. By substitution, and by division (or multiplication), .

. But diagonal For the parallelogram ( ) with base length b and altitude length h, the area is given by . By the Area-Addition Postulate, . But diagonal of separates the parallelogram into 2 congruent triangles that have equal areas. By substitution, and by division (or multiplication), .

of

separates the parallelogram into 2 congruent triangles that have equal areas.
By substitution, For the parallelogram ( ) with base length b and altitude length h, the area is given by . By the Area-Addition Postulate, . But diagonal of separates the parallelogram into 2 congruent triangles that have equal areas. By substitution, and by division (or multiplication), .

and by division (or multiplication), For the parallelogram ( ) with base length b and altitude length h, the area is given by . By the Area-Addition Postulate, . But diagonal of separates the parallelogram into 2 congruent triangles that have equal areas. By substitution, and by division (or multiplication), .

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-Using the Drawing Provided and Fact That the Area of a Parallelogram