Use the relationships in 45-45-90 triangles to solve the following problem. If the hypotenuse of a triangle is 4 cm, what is the length of the leg? (1 point)
URSE TOOLS
0 4v2 cm
O 2 cm
0 2v2 cm
0 2~3 cm
The relationships in a 45-45-90 triangle are that the length of each leg is equal to the length of the hypotenuse divided by √2.
Therefore, if the hypotenuse of the triangle is 4 cm, then the length of each leg is 4 cm/√2.
Simplifying this expression, we can multiply the numerator and denominator by √2:
(4 cm/√2) * (√2/√2) = (4√2 cm)/2 = 2√2 cm
So, the length of the leg is 2√2 cm.