In a right triangle find the length of the side not given. b=1, c=sqrt10, a
need help
In a right triangle
given sides are
b=1 , c= root 10 ,a=?
a= root { 1^2 +(root 10)^2 }
= square root of 11
Because 1^2=1 & root 10^2=10
So the third side is sqrt 11. I just want to make sure that I understand how to work this.
In a right triangle find the length of the side not given. b = 1, c = sqrt10, a = ?
If the two sides are a and b and the hypotensuse = c,
a^2 + b^2 = c^2
a^2 + 1^2 = 10
a^2 = 10 - 1 = 9 makaing a = sqrt9 = 3.
Thanks for clearing that up
To find the length of side "a" in a right triangle when sides "b" and "c" are given, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, side "c" is the hypotenuse and side "b" is given as 1. The length of side "a" is unknown. We can solve for side "a" using the Pythagorean theorem:
a² + b² = c²
Substituting the known values:
a² + 1² = (sqrt(10))²
a² + 1 = 10
a² = 10 - 1
a² = 9
To find the value of "a", we take the square root of both sides:
√(a²) = √9
a = 3
Therefore, the length of side "a" is 3 units.