Question

A piece of a tile is in the shape of a right triangle the base of 1 1/2 cm and the height is 2 1/2 cm what is the area in square centimeters A 3 3/4 square centimeters B 4 square centimeters C 1 7/8 square centimeters D 8 square centimeters

Answer 1

To find the area of a right triangle, you can use the formula:

\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]

In this case, the base is \(1 \frac{1}{2}\) cm (which is \(1.5\) cm) and the height is \(2 \frac{1}{2}\) cm (which is \(2.5\) cm).

Now, substituting the values into the formula:

\[
\text{Area} = \frac{1}{2} \times 1.5 \times 2.5
\]

Calculating the area step-by-step:

1. Multiply the base and height:
\[
1.5 \times 2.5 = 3.75
\]

2. Now, multiply by \( \frac{1}{2} \):
\[
\frac{1}{2} \times 3.75 = 1.875
\]

So the area of the triangle is \(1.875\) square centimeters.

Now, converting \(1.875\) to a mixed number:

\[
1.875 = 1 \frac{7}{8}
\]

Thus, the area in square centimeters is \(1 \frac{7}{8}\) square centimeters.

The correct answer is **C) 1 7/8 square centimeters**.