Question 2:
Choose D.
Look at the fraction 19/8.
The numerator (19) is greater than the denominator (8). That means we have a number > 1.
So how many 8's are in 19?
Well, 8 x 2 = 16. So that would be 16/8 = 2.
Then we'd have 3 leftover because 19-16 = 3.
That's how we know that 19/8 = 2 3/8.
Are you allowed to use a calculator? Because if so, 3/8 = 0.375. That's the fastest way to figure it out!
If not, we can do it the old fashioned way (ha). 3/8 is halfway between 2/8 and 4/8.
2/8 = 1/4 = 0.25 (1/4 = one quarter, just like a quarter worth 0.25)
4/8 = 1/2 = 0.50 (1/2 = a half, a half dollar, 0.50)
0.25 + 0.50 = 0.75 >>> Now divide that by 2 to find the halfway between 0.25 and 0.50 = 0.75/2 = 0.375.
^^^^ That's just a workaround way of figuring out 3/8 as a decimal if you can't use a calculator.
Question 3: Use the pythagorean theorem. a^2 + b^2 = c^2.
C is the hypotenuse, aka the LONGEST length of the right triangle.
If the numbers work in that formula, it's a right triangle. If not, it's NOT a right triangle.
Marissa: 5, 12, 13
Does 5^2 + 12^2 = 13^2?
25 + 144 = 169
13^2 = 169
So YES, Marissa can make a right triangle.
Berta: 6, 8, 10
6^2 + 8^2 = 100 = 10^2
So YES, Berta can make a right triangle.
Corrin: 12, 16, 20
12^2 + 16^2 = 400 = 20^2
So YES, Corrin can make a right triangle.
So the answer is D, all 3 can make right triangles.