the lenght of the hypotenuse of a right triangle is 4cm. the lenght of one leg iz 2m. find the lenght of the other leg.?
let the third side be x
x^2 + 2^2 = 4^2
x^2 + 4 = 16
etc.
30,60,90 triangle
1, sqrt 3, 2
so
2, 2 sqrt 3 4
To find the length of the other leg in a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (denoted as c) is equal to the sum of the squares of the lengths of the other two sides (denoted as a and b).
In this case, we know that the length of the hypotenuse (c) is 4 cm and the length of one leg (a) is 2 cm.
Using the Pythagorean theorem formula, we can write:
c^2 = a^2 + b^2
Substituting the known values:
(4 cm)^2 = (2 cm)^2 + b^2
16 cm^2 = 4 cm^2 + b^2
Now, let's solve for the length of the other leg (b):
16 cm^2 - 4 cm^2 = b^2
12 cm^2 = b^2
To find b, we take the square root of both sides:
√(12 cm^2) = √(b^2)
√12 cm = b
Taking the square root of 12 cm, we get:
b ≈ 3.464 cm
Therefore, the length of the other leg in the right triangle is approximately 3.464 cm.