Do the following sides form a Pythagorean triple? √3, √4 and √5?
No
100
If an isosceles right triangle has a hypotenuse of 4√2 then what is the length of one of the legs of that triangle?
4
100
The short leg length is 6 and the long leg length is 6√3. What is the length of the hypotenuse?
12
100
In an isosceles right triangle, if the hypotenuse contains the square root of 2, how can you determine the length of both legs?
The legs are equal to the number in front of the square root of two.
100
Daily Double! Can you have an angle bigger than 90 degrees in a right triangle?
No
200
Is 5, 12, 13 a Pythagorean triple?
Yes
200
What is the ratio of the sides of an Isosceles Right Triangle in terms of x? (Write your ratio in a:b:c form)
x:x:x√2
200
Daily Double! In a 30-60-90 triangle the short leg length is 3. What is the length of the long leg?
3√3
200
Why can a triangle not be both a 30-60-90 and an isosceles right triangle?
In an isosceles right triangle, the angles must be 45, 45, and 90 degrees to add up to 180.
200
Why can a triangle not be both an isosceles right triangle and an obtuse triangle?
An obtuse triangle has one angle greater than 90 degrees. An isosceles right triangle has 45, 45, and 90 degree angles.
300
Daily Double: If a lamppost 12 feet tall creates a shadow 5 feet long what is the distance between the top of the lamppost and the part of the shadow farthest away from it?
13 feet
300
If an isosceles right triangle has a leg length of 5 what is the lengths of the hypotenuse?
5 square root of 2
300
What is the ratio of the sides of a 30-60-90 triangle?
1:2:√3
300
Daily Double! Which of these is not a Pythagorean triple? (15, 36, 39) or (21, 72, 75) or (9, 12, 17)?
9, 12, 17
300
A 30-60-90 triangle is half of what shape?
An equilateral triangle.
400
The legs of a right triangle are 14 in. And 17 in. long. How long is the hypotenuse? (Round your answer to the nearest hundredth)
22.02 in
400
If an isosceles right triangle has a hypotenuse of 6√2, what is the lengths of both legs?
6
400
The length the short leg is 3√3. What is the length of the hypotenuse?
6√3
400
In a 30-60-90 triangle, if given the length of the long leg without the square root of 3, what can the long leg be divided by to determine the length of the short leg?
The square root of 3.
400
If the short leg of a 30-60-90 triangle is 5 square root of 3, why must the hypotenuse equal 10 square root of 3?
Because the hypotenuse is twice the length of the short leg. 5 times 2 equals 10.
500
Complete this Pythagorean triple a, 63, 65.
a = 16
500
If a right triangle has side lengths of 4,4 and 4√2 what type of right triangle is it?
45-45-90 Isosceles Right Triangle
500
The length of the long leg is 8√3. What is the length of the hypotenuse?
16
500
In an isosceles right triangle, why must the angles formed by the hypotenuse and both legs both equal 45 degrees?
The right angle is 90 degrees. The remaining two angles must sum to 90 degrees. Since both legs must be equal then both angles must be equal.
500
What is the converse of the Pythagorean theorem used for?
To determine if three given sides of a triangle form a right triangle.