Answer:
1: 7.5 2: 25 3: 14.2
Step-by-step explanation:
For all of these, you want to use the Pythagorean Theorem, which is a^2+b^2=c^2
1. you would have to plug in 13 for b, and 15 for c, because 15 is the hypotenuse
a^2+13^2=15^2
now, solve for a
a^2+169=225
225-169=56
a^2=56
to undo a squared, you have to take the square root of both sides
sqrt(56) is about 7.5
to check, you would have to plug in 7.5 for a
2. you would start off the same way, but this time we are solving for c
15^2+20^2=c^2
225+400=c^2
625=c^2
take the square root of 625
25 is your answer
if you want to check, plug in 25 for c
3. we are trying to find the hypotenuse again, so we are solving for c
5.1^2+13.2^2=c^2
26.01+174.24=200.25
200.25=c^2
take the square root once again
it is approximately 14.2
if you want to check, plug in 14.2 for c
have a great day!
