PROOF
What is the name of the longest side in a right-angled triangle?
Hypotenuse
If a right angle triangle has three sides c(H) and b and a. Solve for c if a=5, b=12.
c=13
Who is the theorem named after? And where is the person from? (Have to spell it correct)
Pythagoras, an ancient Greek mathematician.
State Pythagoras’ Theorem in words.
The square of the hypotenuse equals the sum of the squares of the other two sides.
If a triangle has three side c(H) and b and a. Solve for a if b=8, c=10.
a=6
About when did Pythagoras live?
Around 570–495 BCE.
If one shorter side is 6 cm, another is 8 cm, what is the hypotenuse?
10 cm
A right triangle has hypotenuse 25 and one leg 24. Find the missing side.
7
The Pythagorean Theorem can be used in 2D and 3D. Give one example of a 3D application. True or false.
True. Finding the diagonal inside a box/cube.
True or False: Pythagoras’ Theorem works for all triangles.
False (only for right-angled triangles).
A square field is 20 m on each side. What is the length of its diagonal?
28.28
What's Ms Zhang's puppy's name?
RayRay
A triangle has sides 9, 12, and 15. Show whether it follows Pythagoras’ Theorem.
Yes, because 92+122=81+144=225=152.
A ramp rises 3 m vertically and is 12 m long. What is the horizontal distance?
What famous formula is sometimes called the “distance formula” and comes from Pythagoras’ Theorem?
(x2−x1)2+(y2−y1)2.