Geometry/Chapter 4/Lesson 8

Introduction

This short page serves to teach the reader on how to find the altitude of a triangle.

Finding altitude in a right triangle

File:How to Find the Altitude of a Right Triangle - Youtube.PNG

• y = Hypothenuse of $ABD$
• x = Altitude
• z = Hypothenuse of $ADC$

1. $x=$ $\frac{x}{4}=$ • $\frac{7}{x}$
2. $y=$ $\frac{y}{4}=$ • $\frac{11}{y}$
3. $z=$ $\frac{z}{7}=$ • $\frac{11}{z}$

Solving for x

1. $x=$ $\frac{x}{4}=$ • $\frac{7}{x}$
2. √$x$² $=$ √$28$
3. $x=$ $2$√$7$

Solving for y

1. $y=$ $\frac{y}{4}=$ • $\frac{11}{y}$
2. √$y$² $=$ √$44$
3. $y=2$√$11$

Solving for z

1. $z=$ $\frac{z}{7}=$ • $\frac{11}{z}$
2. √$z$² $=$ √$77$
3. $z=$ √$77$

Answer:

• $x=$ $2$√$7$
• $y=2$√$11$
• $z=$ √$77$

See also

• https://www.youtube.com/watch?v=ZEsHoh3cI5s