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Alinara [238K]
3 years ago
7

Find the missing length.

Mathematics
1 answer:
MariettaO [177]3 years ago
7 0

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!

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Answer:

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Step-by-step explanation:

Note that this is a large triangle with 2 smaller, similar triangles inside.  The base of the large triangle is 10, so the base of either of the smaller triangles is half that, or 5.  These are all right triangles.  We can now apply the Pythagorean Theorem to find x.

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