35.5k views
4 votes
How do i find the missing side lengths of a 30/60/90 triangle if it has a hypotenuse of 7?

User Woodly
by
8.0k points

1 Answer

3 votes
The shortest side (the one opposite the 30o angle) is 1/2 the hypotenuse.
The shortest side = 7/2 = 3.5

The other side can before using a^2 + b^2 = c^2
c = 7
b = 3.5
a = x
x^2 + 3.5^2 = 7^2
x^2 + 12.25 = 49
x^2 = 36.75
x = sqrt(36.75)
x = 6.062

Check
6.062^2 + 3.5^2 =? 7^2
36.75 + 12.25 = 49
49 = 49 It does check.
User Anil Koppula
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories