2026 · Q63
A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : ABC is a triangle right-angled at A and AD is perpendicular to BC. If AD = 7.2 cm, then what is BD × CD equal to?
Statement IAB : AC = 3 : 4.
Statement IIBC = 15 cm.
Which one of the following is correct in respect of the above Question and Statements?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- 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 can be answered even without using both the Statements.
Explanation
In a right triangle, the altitude to the hypotenuse satisfies the geometric-mean theorem: AD² = BD·CD. With AD = 7.2 cm, BD × CD = 7.2² = 51.84 regardless of any other data. No statement is needed, option D.