Answer:
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!
