# Grade 9 Math: Intro to Geometry Pythagorean Theorem

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### True or false? The following equation is the formula for a Pythagorean Theorem: $$a^3+b^3=c^3$$

True
False
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### What is the one condition of a Pythagorean theorem?

It can only be used on a isosceles triangle
It can only be used on a right-angled triangle
It can only be used on a scalene triangle
It can only be used on a equilateral triangle
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### We have a triangle with the following measurements: $$a=3$$ and $$b=9$$. What is the value of the hypotenuse?

$$\sqrt{45}$$
$$\sqrt{60}$$
$$\sqrt{30}$$
$$\sqrt{90}$$
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### Mike could drive north to get to Johns house or east to get to Dave's house. It is 16km from Mike's house to John's house and a straight-line distance of 20 km from Johns house to her Dave's house. How far is Mike's from her Dave's house?

12km
18km
22km
24km
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### The hypotenuse of an isosceles right triangle is 128cm. What is the length of the other sides of the triangle?

24
18
12
8
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