Question

area = \frac{1}{2} \times base \times height\
what is the area of the triangle?\
a. 24 cm²\
b. 36 cm²\
c. 45 cm²\
d. 48 cm²\
triangle with side 12 cm, 8 cm, height 6 cm (dashed), base 15 cm (vertical with right angle)

Explanation:

Step1: Identify base and height

From the triangle, base \( b = 15\ \text{cm} \), height \( h = 6\ \text{cm} \) (perpendicular to base).

Step2: Apply area formula

Area of triangle: \( \frac{1}{2} \times b \times h \)
Substitute \( b = 15 \), \( h = 6 \):
\( \frac{1}{2} \times 15 \times 6 = \frac{90}{2} = 45\ \text{cm}^2 \).

Answer:

C. \( 45\ \text{cm}^2 \)