Area of Right Triangles
What is the area of a right triangle with sides of 3,4,5?
6
With a right triangle of legs of 1 what is the hypotenuse? Leave you answer as a simplified radical expression
sqrt2
If the short side of a 30/60/90 is 3 what is the hypotenuse?
6
What is the procedure when finding the hypotenuse when you know one of the legs of a 45/45/90 triangle?
Multiply by
sqrt2
A triangle has angle measures of 36 and 56 degrees what is the measure of the missing angle?
98 degrees
What is the area of a right triangle with sides 2,2, and 2 2sqrt2
2
If the legs of a right triangle are both 3 what would the hypotenuse be? Please leave your answer as a simplified radical expression
3sqrt2
What is the procedure for finding the smallest side when you are given the hypotenuse? (With a 30/60/90 triangle)
Divide by 2
When you know the hypotenuse how do you find the measure of both legs of a 45/45/90 triangle?
Divide by
sqrt2
A triangle has angle measure of 2x, 5x, and 2x. What is the value of x?
20
What is the area of a right triangle with legs of 9 and 12?
54
If a leg of a right triangle is 5 and the hypotenuse is 10 what is the missing leg? Please leave your answer as a simplified radical expression
5sqrt3
What is the second longest side (across from the 60 degree angle) if the short side is 5?
5sqrt3
What is the hypotenuse of a 45/45/90 triangle when both legs are
2sqrt2 ?
4
A triangle has angle measures of 2x, 2x, and 5x. What is the measure of the largest angle?
100
What is the area of a right triangle with sides measures of 6, 8, and 10?
24
There are over _______________ different proofs for the Pythagorean theorem.
300 or 350
What are the missing sides of a 30/60/90 when the hypotenuse is 14?
7 and 7sqrt3
What is the hypotenuse of a 45/45/90 triangle if both legs are
9sqrt8 ?
36
A triangle has measures of 90, 40, and 12.2x, what is the value of 12.2x ?
50
Which side of the right triangle is not used in calculating the area of a right triangle?
Hypotenuse or the long side
How many types of right triangles are also special right triangles where the Pythagorean Theorem still holds true?
2
What are the missing sides of a 30/60/90 triangle when the shortest side is
3sqrt3 ?
6sqrt3 and 9
What are the legs of a 45/45/90 triangle with the hypotenuse of 20?
10sqrt2
If the sum of all interior angles of all triangles always have exactly 180 degrees, then what two figures (shapes) always measure to 360 degrees?
Squares, rectangles, also circles