Aptitude Overflow

+1 vote

What is the area of the triangle?

I. Two sides are 41 cm each

II. The altitude to the third side is 9 cm long.

- if the questions can be answered with the help of both the statements but not with the help of either statement itself.
- if the question can not be answered even with the help of both the statements.
- if the question can be answered with the help $0$ statement $II$ alone
- if the question can be answered with the help of statement $I$ alone

0 votes

Both statements are required to answer the question.

Statement I tells us that the triangle is an isosceles triangle. In an isoceles triangle, the altitude is also the median and bisects the third side. Hence, if we know the altitude length and the length of the congruent sides in an isoceles triangle, we can find its base. And if we know the base and the height of a triangle, we can find its area.

**Option A is the Correct Answer.**

2,833 questions

1,267 answers

500 comments

40,705 users