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23.06.2019 •
Mathematics
In a right triangle the lengths of the legs are a and b. find the length of a hypotenuse, if: a=3, b=4;
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Ответ:
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
Ответ:
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.
Ответ: