Right angled triangle with hyp length 7 contains the angle pi/3. What is exact lengths of the other two sides?

1 Answer
Alan P.
Nov 20, 2015

The other two sides have lengths 7/2 and (7sqrt(3))/2

Explanation:

See image below:enter image source here
The specified values are in color(black)("black")

The standard length ratios of the sides of a pi/3 triangle are in color(blue)("blue")

As can be seen from the hypotenuse the ratio ("specified length")/("standard length") = 7/2

So the two non-specified sides have lengths

color(white)("XXX")7/2xxcolor(blue)(1) = 7/2
and
color(white)("XXX")7/2xxcolor(blue)(sqrt(3)) = (7sqrt(3))/2

Related questions
See all questions in The Pythagorean Theorem
Impact of this question
2173 views around the world
You can reuse this answer
Creative Commons License