the figure shows eight congruent triangles made by dividing a square that has an area of 64 cm². what is the…
the figure shows eight congruent triangles made by dividing a square that has an area of 64 cm². what is the area of abh?\na. 20 cm²\nb. 16 cm²\nc. 8 cm²\nd. 6 cm²\ne. 4 cm²
Answer
Explanation:
Step1: Find area of one - congruent triangle
Since the square is divided into 8 congruent triangles and the area of the square is 64 $cm^{2}$, the area of one congruent triangle is $\frac{64}{8}=8$ $cm^{2}$.
Step2: Determine the number of congruent triangles in $\triangle ABH$
$\triangle ABH$ is composed of 2 of the congruent small - triangles.
Step3: Calculate the area of $\triangle ABH$
The area of $\triangle ABH$ is $2\times8 = 16$ $cm^{2}$.
Answer:
B. $16$ $cm^{2}$