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
What is the area of a 30-60-90 triangle with a short leg length of 1 inch? Round to the nearest square inch.
1
100
In an isosceles right triangle, what can you divide the hypotenuse by to find the two side lengths when given just the hypotenuse?
Divide the hypotenuse by the square root of two.
100
Can you have an angle bigger than 90 degrees in a right triangle?
No
200
Given a= 4 and c = 6. What is the value of b?
4.47
200
What is the ratio of the sides of an isosceles right triangle in terms of x? (Write your ratio in the form a:b:c)
x:x:x√2
200
In a 30-60-90 triangle the hypotenuse has a length of 4 feet. What is the perimeter of the triangle? Round to the nearest tenth.
9.5
200
Can a triangle be both a 30-60-90 and an isosceles right triangle?
No
200
Can a triangle both be a right triangle and an equilateral?
No
300
Do the lengths 5, 12, 14 make a right triangle?
No
300
Which has more area, an isosceles right triangle with a leg length of 4 or a 3,4,5 right triangle?
An isosceles right triangle with a leg length of 4.
300
What is the ratio of the sides of a 30-60-90 triangle in terms of x?
(Write your answer in the form a:b:c)
x:x√3:2x
300
What needs to be true for three sides of a triangle to create a right triangle?
The sum of the squares of the two legs need to equal the square of the hypotenuse.
300
Why can an obtuse triangle never be an isosceles right triangle?
The sum of the three angles in a triangle is 180 degrees. An obtuse angle is greater than 90 degrees, so there can't be two angles greater than 90 in a triangle.
400
Given a rectangle with a diagonal of 25 and a width of 16, what is the length of the rectangle?
19.21
400
You have an isosceles right triangle, where AB and BC create a 90 degree angle. What is the measure of angle A and angle B?
A = 45
B = 45
400
In a 30-60-90 triangle with sides
BC = 1
AB = 2
AC =√3, which angle is 30 degrees?
A
400
Who would use right triangles more, a doctor, an engineer, or a corporation owner?
An engineer
400
What is the converse of the Pythagoren theorem? What is its purpose?
To see if given numbers can create a right triangle.
500
If u have a rectangle with side length of 9 and diagonal of 40 what is the area of the rectangle?
350.77
500
An isosceles right triangle has a hypotenuse of 8(sqrt(4)). What is the length of one leg? Leave your answer in radical form).
8(sqrt(2))
500
If the shortest leg of a 30-60-90 triangle is 5 what is the length of the hypotenuse plus the long leg? Round to the nearest tenth.
18.7
500
When proving a 45-45-90 triangle, what shape did we originally start with?
A square.
500
What is the base shape of a 30-60-90 triangle when proving the length of the long leg?