Triples
Hypotenuse
Legs
Pythagoras
Theorem
100
In your own words, define a Pythagorean Triple.
The 3 sides of a triangle whose measurements are all whole numbers.
100
True or False? The hypotenuse is the longest side of the right triangle.
True
100
Fill in the blank: The legs of the right triangle meet to create the ______ _______ of a right triangle.
right angle
100
Name 3 reasons in the real world someone might need to use the pythatorean theorem.
Construction, navigation, art... etc
100
What is the pythagorean theorem used for?
To find the missing side of a right triangle.
200
This is an example of a Pyth. triple with 6 in it.
What is 6-8-10?
200
What letter(s) represent the hypotenuse in the pythagorean theorem?
c
200
What letter(s) represent the legs of the right triangle in the pythagorean theorem?
a, b
200
Draw the diagonal of your white board.
varying images
200
What is the formula of the Pythagorean Theorem?
a2 + b2 = c2
300
This is an example of a Pyth. triple with 17 in it.
What is 8-15-17?
300
What is the value of x in the right triangle shown below?
¿Cuál es el valor de x en el triángulo rectángulo que se muestra
13
300
What is the value of the x in the right tirangle shown below?
¿Cuál es el valor de la x en el tirangle derecho que se muestra
8 in
300
Show your proof, do these three side lengths represent a right triangle? (must show work)
7, 24, 25
yes- must show work
300
How do you "undo" x2 ?
(what is the inverse?)
√x2
400
Which set of numbers could not represent the lengths of the sides of a right triangle?
a) 8, 15, 17 b) 3, 4, 7
c) 6, 8, 10 d) 5, 12, 13
b
400
The diagram below shows the dimensions of a rectangular field. What is the lenth of a diagonal of the field?
El siguiente diagrama muestra las dimensiones de un campo rectangular. ¿Cuál es la longitud de una diagonal del campo?
17.2 units
400
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400
A 35 foot ladder leans against a building. The base of the ladder is 21 feet from the building. How high up the building is the top of the ladder?
28 feet
400
The map below shows the streets from Sarah's house to James' house.
Sarah is going to bike to school along C street. What is the distance she will bike?
El siguiente mapa muestra las calles desde la casa de Sarah hasta la casa de James.
Sarah va a ir en bicicleta a la escuela por la calle C. ¿Cuál es la distancia que recorrerá en bicicleta?
2.5
500
This is an example of a non-Pyth. triple.
multiple possible answers
500
CHALLENGE: solve for x
x= √13
500
The skating surface of a city's rectangular ice skating rink is 20 feet by 99 feet. What is the diagonal length of the ice skating rink?
101 feet
500
Los tamaños de los monitores de computadora y las pantallas de televisión se encuentran midiendo la longitud de la diagonal de la pantalla rectangular. El televisor rectangular de 50 pulgadas a continuación tiene una longitud inferior de 41 pulgadas. ¿Cuál es la altura de la pantalla a la pulgada más cercana?
~29 inches
500
Two people leave from the same point. One travels 20 meters north. The other travels 21 meters east. How far apart are they?
Dos personas parten del mismo punto. Una viaja 20 metros al norte. el otro recorre 21 metros este. ¿A qué distancia están?
29 Meters