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question 14 of 25 the legs of a right triangle measure 8 inches and 12 …

Question

question 14 of 25
the legs of a right triangle measure 8 inches and 12 inches. what is the area of the triangle?
a. 96 sq. inches
b. 48 sq. inches
c. 24 sq. inches
d. 192 sq. inches

Explanation:

Step1: Recall area formula

The area formula for a triangle is $A=\frac{1}{2}bh$. In a right - triangle, the two legs can be considered as the base $b$ and the height $h$.

Step2: Substitute values

Here, $b = 8$ inches and $h=12$ inches. Substitute into the formula: $A=\frac{1}{2}\times8\times12$.

Step3: Calculate the area

First, $8\times12 = 96$, then $\frac{1}{2}\times96=48$ square inches.

Answer:

B. 48 sq. inches