Question

Can someone please help me?

Answer 1

Solve for the Pythagorean Theorem: "In a triangle rectangle the sum of the squares of the legs is equal to the square of the hypotenuse"

SOLVING:

1)
`8^(2) + b^(2) = 10^(2)`

`64 + b^(2) = 100`

`b^(2) = 100 - 64`

`b^(2) = 36`

`b = √(36)`

`\boxed{b = 6\:ft}\end{array}}\qquad\quad\checkmark`

2)
`a^(2) + 24^(2) = 26^(2)`

`a^(2) + 576 = 676`

`a^(2) = 676 - 576`

`a^(2) = 100`

`a = √(100)`

`\boxed{a = 10\:in}\end{array}}\qquad\quad\checkmark`

3)
`18^(2) + 15^(2) = c^(2)`

`324 + 225 = c^(2)`

`549 = c^(2)`

`c^(2) = 549`

`c = √(549)`

`\boxed{c \approx 23.4\:cm}\end{array}}\qquad\quad\checkmark`

4)
`a^(2) + 14^(2) = 28^(2)`

`a^(2) + 196 = 784`

`a^(2) = 784 - 196`

`a^(2) = 588`

`a = √(588)`

`\boxed{a \approx 24.2\:yd}\end{array}}\qquad\quad\checkmark`

5)
`50^(2) + 50^(2) = c^(2)`

`2500 + 2500 = c^(2)`

`5000 = c^(2)`

`c^(2) = 5000`

`c = √(5000)`

`\boxed{c \approx 70.7\:mm}\end{array}}\qquad\quad\checkmark`

6)
`45^(2) + 64^(2) = c^(2)`

`2025 + 4096 = c^(2)`

`6121 = c^(2)`

`c^(2) = 6121`

`c = √(6121)`

`\boxed{c \approx 78.2\:m}\end{array}}\qquad\quad\checkmark`