Missing Side
45-45-90 Triangles
30-60-90 Triangles
What is it?
100
If the two legs of a right triangle are √3 and √4, what is the length of the hypotenuse?
√5
100
If an 45-45-90 triangle has a hypotenuse of 4√2 then what is x?
{Draw on board.}
4
100
If the shortest side of a 30-60-90 triangle is 3 inches, what are the lengths of x and y?
{Draw on board.}
x=3√3
y=6
100
Classify the triangle with the following sides as acute, right, or obtuse.
3, 5, 4
Right
200
In a right triangle, one of the legs is 6 and the hypotenuse is 8. What is the length of the missing side?
2√7
200
If a leg of a 45-45-90 triangle is 3√2, what is y?
{Draw on board.}
6
200
In a 30-60-90 triangle the hypotenuse has a length of 4 feet. What are the lengths of the other two sides?
2 & 2√3
200
Classify the triangle with the following sides as acute, right, or obtuse.
4, 2√3, 6
Obtuse
300
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 the longest side of a 45-45-90 triangle is 7√6, what is x?
{Draw on board.}
7√3
300
If the longer leg in a 30-60-90 triangle is 6√21, what are x and y?
{Draw on board.}
x=6√7
y=12√7
300
Classify the triangle with the following sides as acute, right, or obtuse.
15, √229, 13
Acute
400
Solve for x.
1 cm
400
If the shortest side of a 45-45-90 triangle is 4√6, what is the length of the longest side?
8√3
400
If the hypotenuse of a 30-60-90 triangle is 8√6, what are the lengths of x and y?
{Draw on board.}
x=4√6
y=12√2
400
Classify the triangle with the following sides as acute, right, or obtuse.
8, 4, 6
Obtuse
500
If a rectangle has side lengths of 9 and 40, what is the length of its diagonal.
41
500
If the longest side of a 45-45-90 triangle is 18, what is the length of the other two sides?
{Draw on board.}
9√2
500
If the longer leg of a 30-60-90 triangle is 15, what are x and y?
{Draw on board.}
x=5√3
y=10√3
500
Classify the triangle with the following sides as acute, right, or obtuse.
10, 5, 5√3
Right {30-60-90}