Question

find the base of the triangle given below if the area is 48m². triangle image with height 12m options: a) 10m, b) 12m, c) 8m, d) 11m

Explanation:

Step1: Recall triangle area formula

The area of a triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \). Let the base be \( b \) and height \( h = 12 \, \text{m} \), area \( A = 48 \, \text{m}^2 \).

Step2: Substitute values into formula

Substitute \( A = 48 \) and \( h = 12 \) into \( A = \frac{1}{2} \times b \times h \):
\( 48 = \frac{1}{2} \times b \times 12 \)

Step3: Solve for base \( b \)

Simplify the right - hand side: \( \frac{1}{2} \times 12\times b=6b \). So the equation becomes \( 48 = 6b \).
Divide both sides by 6: \( b=\frac{48}{6}=8 \, \text{m} \).

Answer:

C. 8m