# CAT Quantitative Aptitude Questions | Geometry Questions for CAT - Triangles

###### CAT Questions | CAT Geometry Questions | Altitude of a Triangle

The question is from CAT Geometry - Triangles. It tests our understanding on properties of a triangle. CAT Geometry questions are heavily tested in CAT exam. Make sure you master Geometry problems. In this question it discusses about the properties of altitude of a triangle.

Question 12: Find the altitude to side AC of triangle with side AB = 20 cm, AC = 20 cm, BC = 30 cm.

1. 10√7
2. 8√7
3. 7.5√7
4. 15√7

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##### Method of solving this CAT Question from Triangles: Understanding the basic properties of altitude of a triangle will help to solve.

This is an isosceles triangle. So, let us find the altitude to BC first.
Area of the triangle = $$frac{1}{2}\\$ * base * height = $\frac{1}{2}\\$ * BC * AD or $\frac{1}{2}\\$ * AC *$altitude to AC, say, h)
= $$frac{1}{2}\\$ * 30 * 5√7 = $\frac{1}{2}\\$ *$20 * h)