Find the missing length.

Triangle 1 - 4

Triangle 2 - 10

Step-by-step explanation:

To find the missing side lengths of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem states that: a² + b² = c². In this equation, a and b are legs, and c is the hypotenuse.

Using this to solve triangle 1, you get the equation: a² + 3² = 5² or a² + 9 = 25. To solve for a², you subtract 9 from both sides to get a² = 16. To solve for a, find the square root of 16, which is 4.

Using the Pythagorean Theorem to solve for triangle 2, you get the equation: 6² + 8² = c² or 36 + 64 = c². Add 36 + 64 to get 100 = c². Find the square root of 100 to solve for c. The square root is 10.

Hope it helps!

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