Question

Please assist me with these math problems asap. Round answers to the nearest tenth​

Answer 1

8)
`\displaystyle 9,4 ≈ hypotenuse \\ 4,9 ≈ leg`

6)
`\displaystyle 5,2 ≈ horizontal\:leg \\ 4,7 ≈ reflexive, vertical\:leg`

5)
`\displaystyle 3,2 ≈ reflexive, vertical\:leg`

Explanation:

Obviously, use the Pythagorean Theorem for all of them:

8)
`\displaystyle -5^2 + 7^2 = c^2 → -25 + 49 = c^2 → √(24) = √(c^2) → 2√(6) = c → 4,898979486 ≈ 4,9 ≈ c \\ \\ 5^2 + 8^2 = c^2 → 25 + 64 = c^2 → √(89) = c^2 → 9,433981132 ≈ c`

6)
`\displaystyle -5,2^2 + 7^2 = c^2 → -27,04 + 49 = c^2 → √(21,96) = √(c^2) → (3√(61))/(5) = c → 4,686149806 ≈ 4,7 ≈ c`

5)
`\displaystyle -3,8^2 + 5^2 = c^2 → -11,44 + 25 = c^2 → √(10,56) = √(c^2) → (2√(66))/(5) = c → 3,249615362 ≈ 3,2`

Split the isosceles base in half to get two identical legs of 3,8.

I am joyous to assist you anytime.