45-45-90 Triangles Lesson

8.2 Special Right Triangles

Math 2

EQ: Wednesday, March 6, 2024

● How do I find the sides of a 45-45-90 Special Right Triangles?

45°

45°

45°−45°−90° = 180o

Multiple Choice

Pythagorean Theorem:

Give the length of the missing side.

• $$2\sqrt[]{5}$$

• 5

• 3

• 10

Multiple Choice

Pythagorean Theorem:

Give the length of the missing side.

• $$2\sqrt[]{5}$$

• 5

• 6

• 7

Multiple Choice

Pythagorean Theorem:

Give the length of the missing side.

• $$\sqrt[]{65}$$

• 11

• 8

• 15

Find the length of the missing side of the right
triangle.

4

7

?

Multiple Choice

Working with Radicals:

Simplify: $$8\times\frac{\sqrt[]{3}}{2}$$

• $$4\sqrt[]{3}$$

• $$8\sqrt[]{3}$$

• $$16\sqrt[]{3}$$

• $$\frac{8\sqrt[]{3}}{16}$$

Multiple Choice

Working with Radicals:

Simplify: $$\frac{2}{3}\times\frac{\sqrt[]{2}}{5}$$

• $$\frac{2\sqrt[]{2}}{15}$$

• $$2\sqrt[]{10}$$

• $$\frac{2\sqrt[]{2}}{8}$$

• $$\frac{2\sqrt[]{5}}{15}$$

Multiple Choice

Working with Radicals:

Simplify: $$\frac{\sqrt[]{3}}{2}\times\frac{\sqrt[]{2}}{3}$$

• $$\frac{\sqrt[]{6}}{6}$$

• $$1$$

• $$\sqrt[]{1}$$

Multiple Choice

Find the measure of angle A.

• 60

• 45

• 90

• 5

Multiple Choice

What is the length of the missing Hypotenuse H?

• $$5\sqrt[]{2}$$

• $$5$$

• $$4$$

• $$2\sqrt[]{5}$$

Multiple Select

Find the lengths of the missing sides.

• $$L=4$$

• $$H\ =4\sqrt[]{2}$$

• $$L=4\sqrt[]{2}$$

• $$H=4$$

Multiple Select

Find the lengths of the missing sides.

• $$L=9$$

• $$H\ =9\sqrt[]{2}$$

• $$L=9\sqrt[]{2}$$

• $$H=9$$

Multiple Select

Find the lengths of the missing sides.

• $$L=7$$

• $$H\ =7\sqrt[]{2}$$

• $$L=7\sqrt[]{2}$$

• $$H=7$$

Multiple Select

Find the lengths of the missing sides.

• $$L1=7$$

• $$L2\ =7\sqrt[]{2}$$

• $$L1=7\sqrt[]{2}$$

• $$L2=7$$

Multiple Select

Find the lengths of the missing sides.

• $$L1=11$$

• $$L2\ =11\sqrt[]{2}$$

• $$L1=11\sqrt[]{2}$$

• $$L2=11$$

Multiple Select

Find the lengths of the missing sides.

• $$L=\frac{5\sqrt[]{2}}{2}$$

• $$H\ =5$$

• $$L=5$$

• $$H=5\sqrt[]{2}$$

Multiple Select

Find the lengths of the missing sides.

• $$L=\frac{13\sqrt[]{2}}{2}$$

• $$H\ =13$$

• $$L=13\sqrt[]{2}$$

• $$H=13\sqrt[]{2}$$