Does the Pythagorean Theorem work for all types of triangles? If not, only which type of triangles?
No. Only works for right triangles or triangles with 90 degree angles
In a 30-60-90 triangle, if the shortest side is x, what is the length of the hypotenuse?
The sum of the interior angles of any triangle.
180°
A quadrilateral in which opposite sides are parallel.
Parallelogram
A triangle is a type of polygon with ___ sides. How many sides does a triangle have?
3
What is the Pythagorean Theorem?

What is the length of the hypotenuse of a 45-45-90 triangle that has a leg of 1?
√2 or 1√2
True or False: The Triangle Sum Theorem applies to all triangles, including obtuse and right triangles.
True
A parallelogram with four right angles
rectangle or square
How many sides does a pentagon have?
5
The hypotenuse is located ______________
Across or in front of the 90 degree angle.
What are the measure of the legs of a 45-45-90 triangle with a hypotenuse length of 10√2?
10
If two angles of a triangle measure 50° and 60°, this is the measure of the third angle.
70°
A parallelogram with all sides equal.
Rhombus or square
This is an irregular polygon with five sides, what kind of polygon is it? HINT: a polygon with three sides is a triangle, and a polygon with four sides is a quandrilateral.
Pentagon
Find the missing side length using Pythagorean Theorem

14.31 inches
If the side opposite the 60° angle is 9√3, what is the length of the shortest side in a 30-60-90 triangle?
9
What is the value of b?

45°
How is a square different from a rectangle?
A square has all sides equal and all angles are right angles, a rectangle does not have 4 congruent sides.
This type of quadrilateral has opposite sides parallel and all angles are right angles.
Rectangle
Find the missing side length using Pythagorean Theorem.

9 yd
CHOOSE ALL THAT APPLY:
All 30-60-90 triangles are:
a. acute triangles
b. right triangles
c. obtuse triangles
d. equilateral
e. isosceles
f. scalene
b. Right Triangles
f. Scalene
Use the three angles to solve for x.
35, 90, 5x+10
9
Diagonals create this many congruent triangles inside a parallelogram.
4
The honeycomb structure found in bee hives is believed to be made up of this type of polygon.
hexagon