Question

which of these is not a pythagorean triple?
select one:
a. 7,24,25
b. 5,12,13
c. 1,2,3
d. 3,4,5

the ratio of a right angle to the total degrees in a circle is
select one:
a. 1:3
b. 1:4
c. 1:2
d. 1:5

Explanation:

Step1: Check Pythagorean triples

A Pythagorean triple satisfies $a^2 + b^2 = c^2$ where $c$ is the largest number.

• For 7,24,25: $7^2 + 24^2 = 49 + 576 = 625 = 25^2$
• For 5,12,13: $5^2 + 12^2 = 25 + 144 = 169 = 13^2$
• For 1,2,3: $1^2 + 2^2 = 1 + 4 = 5

eq 9 = 3^2$

• For 3,4,5: $3^2 + 4^2 = 9 + 16 = 25 = 5^2$

Step2: Calculate right angle to circle ratio

A right angle is $90^\circ$, a circle is $360^\circ$.
Ratio: $\frac{90}{360} = \frac{1}{4}$

Answer:

1. c. 1,2,3
2. b. 1:4