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12. 6.4

13. 20

Step-by-step explanation:

Mathematics: Define and explain.

This is a right triangle, so the Pythagorean Theorem applies.

The Pythagorean Theorem states that the sum of the squared side lengths of a right triangle must equal the hypotenuse when squared.

The legs of a triangle are the sides that form the right angle.

The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.

Mathematics: Solve.

In the first triangle, the missing side length is the hypotenuse.

**41 IS NOT A PERFECT SQUARE. THEREFORE, I MUST ROUND THE SQUARE ROOT TO THE NEAREST TENTH.**

≈

Hence, the hypotenuse, c, is equal to 6.4.

In this second triangle, we are solving the find one of the legs.

Hence, one of the legs, b, is equal to 20.

Mathematics: Conclude.

12) The missing side is equal to 6.4 when rounded to the nearest tenth.

13) The missing side is equal to 20.