Triangle 4 - Lesson A

Triangle 4 - Lesson A

Right Triangle

* right scalene triangle

* right isosceles triangle

Open Ended

Why is the hypotenuse always longer than the legs?

Pythagorean Theorem

aka. Pythagoras' Theorem

Pythagoras

c. 570 – c. 495 BC

Ancient Greek philosopher 

Pythagorean Theorem

When

1) a triangle has a right angle (90°)

2) squares are made on each of the three sides

Then

the biggest square has the exact same area as the other two squares put together.

 $a^2+b^2=c^2$  

where c represents the length of the hypotenuse and a and b the lengths of the triangle's other two sides.

Multiple Choice

What is the diagonal distance across a square of size 1?

• 1

• $\sqrt{2}$

• 1.5

• $\sqrt{3}$

• 2

Multiple Choice

Does a triangle with side length 6, 8, 10 have a Right Angle?

• Yes

• No

Multiple Choice

Find c.

• 5

• 25

• $\sqrt{527}$

• 31

Multiple Choice

Find a.

• 5

• $\sqrt{35}$

• $\sqrt{135}$

• $\sqrt{377}$

Multiple Choice

What is the length of the diagonal of a rectangle of length 3 and width 2?

• $\sqrt{5}$

• $\sqrt{11}$

• $\sqrt{13}$

• 5

Multiple Choice

Does an 8, 15, 16 triangle have a Right Angle?

• Yes

• No

Multiple Choice

Does this triangle have a Right Angle?

• Yes

• No

Multiple Choice

Only one of these triangles is really a right triangle. Which one?

• A

• B

• C

• D

Multiple Choice

Which one of the following triangles is NOT a right triangle?

Multiple Choice

What is the length of the side x?

• 5

• $\sqrt{34}$

• $\sqrt{44}$

• $\sqrt{244}$

• Not enough information is given