Answer:
1) 20 cm
2) 22.4 in
3) 15 ft
Explanation:
For this question, you have to use the Pythagorean theorem.
Why?
Well, because it is a right triangle and you have 2 sides given and you want to find the third side.
Now let's solve this problem!
For number 1 we have:
a = 16 cm and B = 12 cm
you need to find the 3rd side which is c (aka the hypothenuse)
so let's write the equation:
a^2 + b^2 = c^2
Then we substitute with what we have given.
16^2 + 12^2 = c^2
Using a calculator solve the equation
400 = c^2
Now we have to find the square root from both sides of the equation.
c = 20 cm (That's the final answer)
For number 2 we have:
a = 10 in and b = 20 in
we follow the same steps as in number 1
a^2 + b^2 = c^2
10^2 + 20^2 = c^2
500 = c^2
c = 22.4 in (That's the final answer)
For number 3 we have:
a = 9 ft and b = 12 ft
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
225 = c^2
c = 15 ft (That's the final answer)