Right Triangle

Question 0

What is the converse of the Pythagorean theorem?

Answer 0

If the square of one side of a triangle is equal to the sum of the squares of the other two sides, the. The triangle is a right triangle

Question 1

What is the Pythagorean theorem?

Answer 1

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs

Question 2

What are the main Pythagorean triples?

Answer 2

3,4,5
5,12,13
8,15,17
7,24,25

And all multiples of these

Question 3

How do you know if a triangle is right?

Answer 3

c2 = a2 + b2

Angle C is 90

Question 4

How do you know if a triangle is acute?

Answer 4

c2 is less than a2 + b2

Angle C is less than 90

Question 5

How do you know if a triangle is obtuse?

Answer 5

c2 is more than a2 + b2

Angle C is more than 90

Question 6

When is a triangle impossible?

Answer 6

If the two legs add up to be greater than (not equal to or less than) the hypotenuse

Question 7

What is the 45-45-90 theorem?

Answer 7

In a 45-45-90 triangle the hypotenuse is root2 times as long as a leg

Question 8

What is the 30-60-90 theorem?

Answer 8

In a 30-60-90 triangle the hypotenuse is twice as long as the shorter leg and the longer leg is root3 times as long as the shorter leg

Question 9

Sine=

Answer 9

Hypotenuse

Question 10

Cosine=

Answer 10

Hypotenuse

Question 11

Tangent=

Answer 11

Adjacent

Question 12

What do you use to find the angle of a triangle?

Answer 12

Cos-1 etc