Question

Work out the lengths of sides a and b.
Give your answers to 1 decimal place.

Answer 1

`A = √(89)`

`B = √(145)`

Explanation:

`1)\ 8^2 + 5^2 = A^2`

`2)\ A^2 = 64 + 25`

`3)\ A^2 = 89`

`4)\ A = √(89)`

`1)\ B^2 + 12^2 = 17^2`

`2)\ B^2 + 144 = 289`

`3)\ B^2 = 145`

`B = √(145)`

Answer 2

a = 9.4

b = 12.0

Step-by-step explanation: For both of these problems, you need to use the Pythagorean Theorum since they are both right triangles, which is represented by the equation a^2+b^2=c^2. In this equation, "c" represents the hypotenuse of the triangle while both "a" and "b" represent the two other sides. In the first triangle, solve the equation 8^2+5^2=c^2 andf in the second triangle, solve the equation 12^2+b^2=17^2 since the hypotenuse is already given.