Question

how do the areas of triangle abc and def compare? the area of △abc is 1 square unit less than the area of △def. the area of △abc is equal to the area of △def. the area of △abc is 1 square unit greater than the area of △def. the area of △abc is 2 square units greater than the area of △def.

Explanation:

Step1: Find base and height of △ABC

Base $AB = 3$ units, height from $C$ to $AB$ is $4$ units.

Step2: Calculate area of △ABC

Using area formula $A=\frac{1}{2}bh$, $A_{ABC}=\frac{1}{2}\times3\times4 = 6$ square units.

Step3: Find base and height of △DEF

Base $DF = 6$ units, height from $E$ to $DF$ is $2$ units.

Step4: Calculate area of △DEF

Using area formula $A=\frac{1}{2}bh$, $A_{DEF}=\frac{1}{2}\times6\times2=6$ square units.

Answer:

The area of △ABC is equal to the area of △DEF.