Show:
30-60-90 Triangles
45-45-90 Triangles
vocabulary, definitions, and common knowledge
Word Problems
miscellaneous
100
Triangle ABC is a right triangle. Angle A is 30 degrees, and angle B is 60 degrees. If the length of side BC is 12ft., then what is the length of the other two sides?
Side AC is 12√3ft. and the length of side AB is 24ft.
100
If the hypotenuse of a right 45-45-90 triangle is 5√2 cm, how long are the other two sides?
5 cm.
100
what is the longest side of a right triangle called?
The hypotenuse.
100

In sailing, it is not possible to head straight into the wind. In order to get upwind, a sailboat simply sails at an angle to the wind and then turns to sail back toward where it wants to go. Assume that a boat needs to get directly upwind 6000 m. If it sails off at a 45º angle to the wind and then turns back 90º towards the original goal, how far would it have to sail to get directly upwind 6000 meters? Round your answer to the nearest tenth.

8485.3 meters

100

Derek didn't finish his homework because he was working on an essay about ________

Bees

200
If The hypotenuse of a 30-60-90 Triangle is 7in. then what is the length of the other 2 sides?
The shorter side would be 3.5in. and the longer side would be 3.5√3in.
200
The hypotenuse of a right 45-45-90 triangle is 6 cm. How long are the other sides?
3√2 cm.
200
Which side is half the size of the medium side of a 30-60-90? The shortest side or the hypotenuse?
The shortest side.
200
Grain elevators are conveyor belts used throughout the Midwest to take produce, like wheat, to the top of a silo for storage. How long would the belt of a grain elevator need to be if the bottom is 50 feet from the base of a silo that is 50 feet high? Round your answer to the nearest tenth.
141.4 feet
200

Preston didn't finish his homework because he was beating a 13 year old girl in what game? 

Fortnite

300
A length of the longer leg of a 30-60-90 triangle is 2√6 inches long. What is the length of the hypotenuse?
4√2 inches
300
The area of a square is 25 cm sq. How long is the diagonal of the square?
5√2 cm.
300
do you use the √2 in a 30-60-90 or a 45-45-90?
45-45-90
300
The perimeter of an equilateral triangle is 45 meters. Find the length of an altitude. Round to the nearest tenth.
13.0 meters
300

Which student in the class leaves to fill their water bottle the most?

Alex

400
Two 30-60-90 Triangles share a hypotenuse forming a rhombus. If the length of the hypotenuse is 18, what is the perimeter of the rhombus?
36√3
400
In a 45-45-90 triangle, the hypotenuse is 58 feet long. What is the sum of the legs?
58+58√2 ft
400
Do you use the √3 in a 30-60-90 or a 45-45-90?
30-60-90
400
A symmetrical canyon is 4850feet deep. A river runs through the canyon at its deepest point. The angle of depression from each side of the canyon to the river is 60°. Round to the nearest tenth.
5600.3 ft
400

Which student in the class shows up with Tim Hortons nearly every day? 

Kayley!

500
The longer base of a trapezoid is 10cm long. The shorter base of the trapezoid is 6cm long. Draw the perpindiculars from the shorter base to the longer base. The triangles formed are 30-60-90 triangles. Find the area of the rectangle.
12√3
500
One square has sides that twice as long as the sides of another square. If the area of the second square is 36 m, how long is the diagonal of the first square?
12√2 m.
500
What are the two different kinds of right triangles and what are their angle measures?
30-60-90 and 45-45-90. 30, 60, and 90 degrees. 45, 45, and 90 degrees.
500
Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√3 inches and one of the angles is 45°.
The lengths of the two sides are both 4 inches.
500

What is the name of Mr Irving's Cat?

Timbit