2023 · Q100
Question: What is the area of the triangle inscribed in a semi-circle with the diameter as the base?
Statement IThe diameter of semi-circle is 20 cm.
Statement IITwo shorter sides of the triangle are 12 cm and 16 cm. Mark option (a) if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone. Mark option (b) if the question can be answered by using either statement alone. Mark option (c) if the question can be answered by using both the statements together, but cannot be answered using either statement alone. Mark option (d) if the question cannot be answered even by using both the statements together.
Elementary MathematicsCircles
- AThe question can be answered by using one of the statements alone, but cannot be answered using the other statement alone
- BThe question can be answered by using either statement alone
- CThe question can be answered by using both the statements together, but cannot be answered using either statement alone
- DThe question cannot be answered even by using both the statements together
Explanation
Angle in semicircle is right; with diameter 20 and sides 12,16: area=(1/2)(12)(16)=96. Both statements needed. Option (a).