Vocabulary
What are the sides of the triangle next to the right angle?
Legs
Tell whether the set of numbers forms a triangle or not
15, 12, 9
TRIANGLE
When one leg=3 and the other leg=4 then the hypotenuse=?
5
How do you tell if a triangle is right based on its side lengths?
c2=a2+b2
Shane marched 3 m east and 6 m north. How far is he from his starting point?
6.71meters
What is the side of the triangle across from the right angle?
Hypotenuse
Tell whether the set of numbers forms a triangle or not
5, 10, 15
NOT A TRIANGLE
When one leg=3 and the other leg=5 then the hypotenuse=?
square root of 34 or 5.83
How do you tell if a triangle is obtuse based on its side lengths?
c2>a2+b2
Construction workers are building a ramp. The ramp is 9 feet high and 12 feet long. What is the length of the slanted part of the ramp?
15 feet
Tell whether the set of numbers forms a triangle or not
8.5, 6.5, 13.5
TRIANGLE
When one leg=5 and the hypotenuse=13 then the other leg=?
12
How do you tell if a triangle is acute based on its side lengths?
c2<a2+b2
Roofers need to know how long of a ladder they need. The roof is 16 feet high and the bottom of the ladder will be placed 12 feet from the building. What is the length of the ladder?
20 feet
The only type of triangle you can use the pythagorean theorem on.
Right triangle.
Tell whether the set of numbers forms a triangle or not
12, 2.2, 14.3
NOT A TRIANGLE
When one leg=21 and the hypotenuse=35 then the other leg=?
28
Classify the triangle with the given side lengths as acute, right, or obtuse.
12m, 15m, 8m
Because c2 >a2 +b2 , the triangle is obtuse.
If the height of a triangle is 17 inches less than the length of its base and the length of the hypotenuse is 25 inches, find the base and the height.
the base and height of the right triangle are 24 inches and 7 inches respectively.
What is the name of the guy who is given credit for discovering the theorem we have been learning about?
Pythagoras
The measures of two sides are given. Between what two numbers must the third side fall.
11 and 20
the measurement of the third side should be any number greater than 8 but less than 31
When one leg=15 and the other leg=22 then the hypotenuse=?
square root of 709 or 26.63
Classify the triangle with the given side lengths as acute, right, or obtuse.
4cm, 6cm, 7cm
The triangle is acute.
One of the diagonals of a rectangle is 20 cm long. If the difference between its length and width is 4 cm, then find the area of the rectangle.
the area of the rectangle is 192 square cm.