Question

what is the area of the obtuse triangle given below? image of triangle
a. 105 sq. units
b. 97.5 sq. units
c. 154 sq. units
d. 48.75 sq. units

Explanation:

Step1: Recall the area formula for a triangle

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$.

Step2: Identify base and height from the triangle

From the diagram (assuming the base is 15 units and the height is 13 units, as it's an obtuse triangle and we can use the perpendicular height), we substitute into the formula.

Step3: Calculate the area

Substitute base $b = 15$ and height $h = 13$ into $A=\frac{1}{2}\times b\times h$. So $A=\frac{1}{2}\times15\times13$. First, calculate $15\times13 = 195$, then $\frac{1}{2}\times195 = 97.5$.

Answer:

B. 97.5 sq. units