SOLUTION: If a diagram shows a 30-60-90 triangle with a square on each side. The side opposite to the 30 angle is 10 units and the side opposite to the 60 angle is 10 *the square root of 3.

Question 939063: If a diagram shows a 30-60-90 triangle with a square on each side. The side opposite to the 30 angle is 10 units and the side opposite to the 60 angle is 10 *the square root of 3. Using the areas of the squares to show that the squares on each side of the triangle satisfy the pythagorean relationship A squared+B squared=C squared what is c squared
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If a diagram shows a 30-60-90 triangle with a square on each side. The side opposite to the 30 angle is 10 units and the side opposite to the 60 angle is 10 *the square root of 3. Using the areas of the squares to show that the squares on each side of the triangle satisfy the pythagorean relationship A squared+B squared=C squared what is c squared
-----
C^2 = 10^2 + (10sqrt(3))^2 = 100 + 300 = 400
----
C = sqrt(400) = 20
--------------------
Cheers,
Stan H.
--------------
RELATED QUESTIONS
The hypotenuse of a 30-60-90 triangle measures 10 units. Find the length of the side... (answered by rfer)

With a 30-60-90 TRIANGLE and assign the side opposite the 30 degree angle a value if 'X'. (answered by mananth)

if a 30-60-90 triangle has a hypotenuse of 13 what is the length of the side opposite the (answered by Alan3354)

I have a triangle with given angles 135, and 30. The side opposite the 135 degree angle... (answered by scott8148)

The acute angles of a right triangle have degree measures 30 and 60. If the side opposite (answered by josgarithmetic,ikleyn,Edwin McCravy,mccravyedwin)

The length of the hypotenuse of a 30-60-90 triangle is 13 meters. Find the length of the... (answered by CharlesG2)

he length of the hypotenuse of a 30-60-90 triangle is 22 meters find the length of the... (answered by stanbon)

the hypotenuse of a 30-60-90 triangle has lenght 13. what is the lenghth of the side... (answered by MathLover1)

The hypotenuse of a 30- 60- 90 triangle has length 15. What is the length of the side... (answered by rfer)