Maths Special Right Triangles Quiz 2

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| By Philip Benanti
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Philip Benanti
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Let's start this quiz it will give you the different right triangles, Find out now how much do you know about it!

• 1.

If you know one side of a 45-45-90 triangle, then you can ALWAYS find the exact length of the other 2 sides.

• A.

True

• B.

False

A. True
Explanation
No matter WHAT the size of the 45-45-90 triangle, the sides are ALWAYS in the same ratio.

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• 2.

Find x and y.

• A.

X = 5*sqrt(2), and y = 5*sqrt(2)

• B.

X = 5*sqrt(3), and y = 5

• C.

X = 5, and y = 5*sqrt(2)

• D.

X = 5, and y = 5*sqrt(3)

D. X = 5, and y = 5*sqrt(3)
Explanation
The ratio of the sides of a 30-60-90 triangle are x, x*sqrt(3), and 2x (listed in order of the side opposite the 30,60,90).

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• 3.

No matter what positive number x is, x*sqrt(3) is LARGER than 2x.

• A.

True

• B.

False

• C.

Depends on what positive number x is.

B. False
Explanation
sqrt(3) is roughly 1.732, so when you multiply a number by 1.732, that's LESS than multiplying that number by 2.

That's why "2x", the LARGER number, is across from the right angle, the LARGEST angle.

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• 4.

Find x and y.

• A.

X=70*sqrt(2), and y=70

• B.

X=140, and y=70*sqrt(3)

• C.

X=70*sqrt(3), and y=140

B. X=140, and y=70*sqrt(3)
Explanation
The ratio of the sides of a 30-60-90 triangle are x, x*sqrt(3), and 2x (listed in order of the side opposite the 30,60,90).

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• 5.

Find x and y.

• A.

X = 15*sqrt(3), and y = 30

• B.

X = 7.5*sqrt(3), and y = 15*sqrt(3)

• C.

X = 5*sqrt(3), and y = 10*sqrt(3)

C. X = 5*sqrt(3), and y = 10*sqrt(3)
Explanation
The ratio of the sides of a 30-60-90 triangle are x, x*sqrt(3), and 2x (listed in order of the side opposite the 30,60,90).

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• Current Version
• Mar 21, 2023
Quiz Edited by
ProProfs Editorial Team
• Mar 02, 2015
Quiz Created by
Philip Benanti

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