practice finding areas of triangles in the coordinate plane. which statement is true of the right triangles…

practice finding areas of triangles in the coordinate plane. which statement is true of the right triangles abc and def? area of abc is greater than area of def. area of abc is less than area of def. area of abc is equal to the area of def. there is not enough information to compare the areas of triangles abc and def.

practice finding areas of triangles in the coordinate plane. which statement is true of the right triangles abc and def? area of abc is greater than area of def. area of abc is less than area of def. area of abc is equal to the area of def. there is not enough information to compare the areas of triangles abc and def.

Answer

Explanation:

Step1: Recall area formula for right - triangle

The area formula for a right - triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.

Step2: Find area of $\triangle ABC$

For $\triangle ABC$, assume the base $AC = 10$ and the height $AB= 8$. Then $A_{ABC}=\frac{1}{2}\times10\times8 = 40$.

Step3: Find area of $\triangle DEF$

For $\triangle DEF$, assume the base $EF = 8$ and the height $DF = 10$. Then $A_{DEF}=\frac{1}{2}\times8\times10=40$.

Answer:

Area of ABC is equal to the area of DEF.