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Viktor [21]
3 years ago
6

In a right triangle the lengths of the legs are a and b. Find the length of a hypotenuse, if: a=3, b=4;

Mathematics
2 answers:
prohojiy [21]3 years ago
6 0

Answer:

The hypotenuse is 5

Step-by-step explanation:

We can use the Pythagorean theorem to find the hypotenuse of a right triangle

a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse

3^2 +4^2 =c^2

9+16=c^2

25=c^2

Take the square root of each side

sqrt(25) =sqrt(c^2)

5 = c


Lady bird [3.3K]3 years ago
4 0

Answer:

<h3>hypotenuse = 5</h3>

Step-by-step explanation:

Use the Pythagorean theorem:

a² + b² = c²

a, b - legs

c - hypotenuse

We have the lengths of the legs a = 3 and b = 4. Substitute:

c² = 3² + 4²

c² = 9 + 16

c² = 25 → c = √25

c = 5


Pythagorean triple:

3, 4, 5

6, 8, 10

5, 12, 13

and more.

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