I need to learn how to do these type of problems

For question one, you should memorise this rule, if c^2 is less than a^2 plus b^2, then the triangle is acute, if c^2 is equal to a^2 plus b^2, then the triangle is right. If c^2 is more than a^2 plus b^2, then the triangle is obtuse

1) the square root of 8^2 plus 24^2 is equal to 25, so the triangle is acute
2) the square root of 3.1^2 plus 4.1^2 is equal to 5.1, so the triangle is right
3) the square root of 0.11^2 plus 0.6^2 is equal to 0.61, so the triangle is right
4) the square root of 10^2 plus 39^2 is equal to 40, so the triangle is acute
5) the square root of 36^2 plus 77^2 is equal to 75, so the triangle is right
6) the square root of 65^2 plus 73^2 is equal to 97.74, but i don't know if your teacher wants the answer to the nearest whole number. If she/he wants it to the nearest whole number, then the triangle is obtuse.

Q13) square root of 10^2 plus 24^2 is 26
x is equal to 26

Q14) this time, we have the longest side, so we do square root of 13^2-12^2 which is five
x is equal to five

Q15) supers root of 6^2-3^2m which is 5
x is equal to five

Q16) move twelve squared to the right side as a negative number

B squared is equal to 25

Square root of 25 is five

Q17) 30^2+16^2 is 1156

Square root of 1156 is 34

Q18) move eight squared to the other side as a negative number

B squared is equal to 36

Square root of thirty six is six

Q19) move a squared to other other side as a negative number

So it becomes b squared equals to c squared minus a squared

But they only want b by itself, not b squared, so we square root

So b is equal to c minus a

Q20) to find the hypotenuse, you do c squared equals to share root of a squared plus b squared

So,we do the square root of 24^2+7^2 p, which is 25

Q21) we have the hypotenuse (c), so we do square root of c squared minus a squared, which is 12

Q22) square root of 26^2 minus 10^2, which is 24

Q23) square root of 50^2 minus 48^2, which is 14

Q24) square root of 24^2 plus 45^2, which is 51 ( we plus, not minus because we aren't given the value of c)

Q25) square root of 39^2 minus 36^2, which is 15

:)