Use the pythagorean theorem or knowledge on special right triangles to find the missing variable in the following triangles

Where are the following triangles???

Part A: 60

Part B: 3.1

Explanation:

Part A:

Solve for the hypotenuse using the hypotenuse thm. to find j.

h = side x square root 2 ⤵️

h = 30 square root 2 x square root 2

= 30 squar root of 4

= 30 x 2

= 60

The hypotenuse is 60.

Part B:

Solve for the missing side, b, by using the equation:

h = side x square root 2

9 = b x square root 2

Divide both sides by the square root of 2

Sense we can’t have a radical, we multiply square root of 2

It becomes:

Square root 2/Square root 2 x 9/Square root 2

= 9 x Square root 2/square root 4

= 9 x Square root 2/2

= 6.363961031 or 6.3

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explanation: