Study the adjoining picture and answer the following questions:
The area of ΔABF is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 90 m2
ΔABF has a right angle at B, so its two arms AB and BF are the base and the height: area \(=\frac{1}{2}\times\text{AB}\times\text{BF}\). The 7 m marked in the figure is BC, the height of B above C.
AB \(=\) AC \(-\) BC \(=25-7=18\) m
BF \(=10\) m
Area \(\displaystyle =\frac{1}{2}\times18\times10=90\) m2