W8D4 Quiz Special Right Triangles (14 questions)

What is the length of x in this 45-45-90 triangle?

• 4√2
• 4
• 8
• 4√3

In this isosceles triangle, what is the length of x?

• 8√2

• $\frac{8}{\sqrt{2}}$

• 16

• 8

Which is the length of v in this 30-60-90 triangle?

• $4\sqrt{3}$

• 4

• 8

• $4\sqrt{2}$

What is the length of the short leg of this 30-60-90 triangle? In other words, find  $n$  .

• 6

• $\frac{6}{\sqrt{3}}$

• 3

• $\frac{6}{\sqrt{2}}$

What is a in this 30-60-90 triangle?

• a = 7√3

• a = 7√2

• a = 14

• a = 14√3

Find x - the length of the hypotenuse of the triangle.

• 5
• 5√2
• 10
• 5√3

Solve for x. Round to the nearest tenth. Use  $S\frac{O}{H}C\frac{A}{H}T\frac{O}{A}$  and solve for the missing side.

• 15.3

• 16.6

• 24.1

• 24.3

Find the measure of the missing angle. Round to the nearest degree.  Hint: use one of these keys:

 $\sin^{-1},\cos^{-1}\ or\ \tan^{-1}$  

• 64^o

• 26^o

• 61^o

• .008^o

Set up the problem...

• sin X = 41/28
• tan X = 41/28
• cos X = 28/41
• sin X = 28/41

Find the length of the missing side. Hint use the Pythagorean theorem:  $a^2+b^2=c^2$  

• 17 cm

• 22 cm

• 15 cm

• 13 cm