Mathematics: The length of the hypotenuse of 30-60-90 triangle is 5. find the perimeter

The length of the hypotenuse of 30-60-90 triangle - id3060906427236, stormhorn5108

Ответ:

lucyfox8165

26.01.2022

$7.5+2.5\sqrt{3}$

Step-by-step explanation:

The ratio of sides in a 30-60-90 triangle is $1:2:\sqrt{3}$ . Since the hypotenuse is the longest side, the shortest leg is 5/2=2.5. The leg that would usually be $\sqrt{3}$ is now $2.5\sqrt{3}\approx 4.33$ . Adding all of these together, you get $7.5+2.5\sqrt{3}\approx 11.83$ . Hope this helps!