45-45-90 Triangle Theorem
In a 45-45-90 triangle, the legs are congruent and the length of the hypotenuse is √2 times the length of a leg.
What is definition of a 45-45-90 triangle?
In a 30-60-90 triangle, the length of the hypotenuse is 2 times the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.
What is the definition of a 30-60-90 degree triangle.
The acute angles of a right triangle are complementary, so the measure of the third angle is 90 and another is 45. One leg length is 10 units. Find the length of the hypotenuse.
What is x=10√2
What is the equation to solve for a missing hypotenuse?
What is x = ℓ √2
What is the angle ratio opposite of the 30 degree angle
What is x?
An official softball diamond is a 60 ft. by 60 ft. square. What is the distance a catcher must throw to get a runner out at 2nd base?
What is 84.6 ft?
The hypotenuse of a 45-45-90 with the length of one side = 6√2 .
What is x = 12 ?
What are the two ratio names opposite of the 90 degree angle and 60 degree angle?
What is x√3 and 2x
If one angle of a right triangle is 30º and the measure of the shortest side is 7, what is the measure of the remaining two sides?
What is 7√3 and 14?
An official baseball diamond is square with sides 90 ft. long. How long is it from home plate to second base?
What is 90√2?
A 40-foot-long escalator rises from the first floor to the second floor of a shopping mall. The escalator makes a 30° angle with the horizontal. How high above the first floor is the second floor?
What is 20 ft?
A large stained glass window is constructed from six 30°-60°-90° triangles as shown in the figure. What is the height of the window?
What is 2.31 m?
If PQR is an isosceles right triangle, and the measure of the hypotenuse is 12, what is S?
What is 6√2?
While using a protractor to find a certain pair of coordinates, Anne was curious about the dimensions of the tool. She knows the shorter leg is 8 inches and one of the angles equal 30°. What are the measurements of the other two sides?
What is 8√3 and 16 ?
A company makes carpenter pencils that "do not roll off tables" by shaping them as triangular prisms with equilateral bases. Nine of these pencils fit into a box shaped like a triangular prism that is 1.25 inches wide. The pencils stand on the end in the box and the base of the box is equilateral. What are the dimensions of each pencil?
What is 5/12 OR 0.4?