which statement is true of the right triangles abc and def? area of abc is greater than area of def. area of…

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.

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: Calculate the area of triangle (ABC)

The formula for the area of a right - triangle is (A=\frac{1}{2}\times base\times height). For triangle (ABC), the base (AC = 9) units and the height (AB=4) units. So, (A_{ABC}=\frac{1}{2}\times9\times4) [ \begin{align*} A_{ABC}&=\frac{1}{2}\times9\times4\ &= 18 \end{align*} ]

Step2: Calculate the area of triangle (DEF)

For triangle (DEF), the base (EF = 6) units and the height (DF = 6) units. So, (A_{DEF}=\frac{1}{2}\times6\times6) [ \begin{align*} A_{DEF}&=\frac{1}{2}\times6\times6\ &=18 \end{align*} ]

Answer:

Area of (ABC) is equal to the area of (DEF).