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Height of a triangle

ter27

New member
Dec 25, 2013
3
text.png My daughter was given this problem in an exam. She could not do it and was never given the solution. I can do the problem using trig but she has not been taught trig yet. She says that it can be done without trig using a more simple method that she doesn't know. Could somebody please explain how it could be done without using trig. It would be most appreciated :confused:
triangle.png
 

mente oscura

Well-known member
Nov 29, 2013
172
Hello.

Lo that I think simplest is:

[tex]area=\dfrac{6*8}{2}=24[/tex]

By placing the right triangle to another position.

Then:

[tex]24=\dfrac{10*h}{2}[/tex]

[tex]h=4.8[/tex]

Regards.
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Another method would be to use similarity.

\(\displaystyle \frac{h}{6}=\frac{8}{10}\)

\(\displaystyle h=\frac{48}{10}=4.8\)

or

\(\displaystyle \frac{h}{8}=\frac{6}{10}\)

\(\displaystyle h=\frac{48}{10}=4.8\)