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

How do we solve this question?

y = Hypothenuse of $ABD$ x = Altitude z = Hypothenuse of $ADC$ $x=$ ${\tfrac {x}{4}}=$ • ${\tfrac {7}{x}}$ $y=$ ${\tfrac {y}{4}}=$ • ${\tfrac {11}{y}}$ $z=$ ${\tfrac {z}{7}}=$ • ${\tfrac {11}{z}}$ Solving for x $x=$ ${\tfrac {x}{4}}=$ • ${\tfrac {7}{x}}$ √$x$2 $=$ √$28$ $x=$ $2$√$7$ Solving for y $y=$ ${\tfrac {y}{4}}=$ • ${\tfrac {11}{y}}$ √$y$2 $=$ √$44$ $y=2$√$11$ Solving for z $z=$ ${\tfrac {z}{7}}=$ • ${\tfrac {11}{z}}$ √$z$2 $=$ √$77$ $z=$ √$77$ Answer: $x=$ $2$√$7$ $y=2$√$11$ $z=$ √$77$

See also

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