SOLUTION: The hypotenuse of right triangle ABC is 4 cm long. What are the lengths of the other two sides? How do you do it step by step? You have two angles 60 and 30 and a 90. Is there

Question 152364This question is from textbook Basic Biomechanics
: The hypotenuse of right triangle ABC is 4 cm long. What are the lengths of the other two sides? How do you do it step by step? You have two angles 60 and 30 and a 90. Is there an equation to use? This question is from textbook Basic Biomechanics

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
You can review this web site:
http://www.themathpage.com/aTrig/30-60-90-triangle.htm
.
Basically, the sides will have the ratio 1:2:sqrt(3)
where 2 is the hypotenuse
1 is the "short" side
sqrt(3) is opposite the 60deg angle of the triangle.
.
Since the hypotenuse is 4 cm:
the "short side" = 4/2 = 2 cm
and
third side = "short side" * sqrt(3) = 2sqrt(3)
.
To summarize, the sides are:
2 cm, 4 cm and 3sqrt(3) cm

RELATED QUESTIONS
the hypotenuse of a right triangle is 26 cm. the sum of the two other sides is 34 cm.... (answered by stanbon)

In triangle ABC, a right triangle, the hypotenuse is 26 cm long. The altitude to the... (answered by Theo)

If there's an isosceles triangle and the hypotenuse is 12, what are the lengths of the... (answered by stanbon)

In a right angled triangle the length of the hypotenuse is (13x + 1) cm. The lengths of... (answered by ben720)

A right triangle has an area of 84 ft^2 and a hypotenuse that is 25 ft long. What are the (answered by mananth)

A right triangle has legs of length 3x and 4x and hypotenuse of length 75. What are the... (answered by scott8148)

If i know that the lentgh of the hypotenuse is 10cm and area of right triangle is 24 cm^2 (answered by oscargut,josgarithmetic)

the hypotenuse of a right triangle is 10 cm long. one leg is twice as long as the other.... (answered by ewatrrr)

The hypotenuse of a right triangle has a length of 13 cm. the sum of the lengths of the... (answered by Fombitz)