Question

find the area of the following triangle:
(diagram: triangle with sides 14, 12, and dashed right triangle with leg 10)
note: figure may not be drawn to scale.
label optional

Explanation:

Step1: Recall the area formula for a triangle

The area of a triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \).

Step2: Identify the base and height

From the diagram, the base of the triangle (for the right - angled part) is 12 and the height is 10.

Step3: Calculate the area

Substitute the values of base and height into the formula: \( A=\frac{1}{2}\times12\times10 \).
First, calculate \( 12\times10 = 120 \), then \( \frac{1}{2}\times120=60 \).

Answer:

60