One of the legs of a right triangle measures 1 cm and its hypotenuse measures 2 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.

Respuesta :

Answer:

1.7 cm

Step-by-step explanation:

The formula to find the hypotenuse: [tex]c^{2} = a^{2} +b^{2}[/tex]. In this case, the hypotenus is given.

1) Substitute the values into the formula.

[tex]2^{2} = 1^{2} +b^{2}[/tex]

2) Solve for [tex]b[/tex].

[tex]4 = 1 + b^{2} \\4 - 1 = b^{2}\\3 = b^{2}\\\sqrt{3} = b\\1.73205 = b[/tex]

3) Round the answer to the nearest tenth.

[tex]1.7 = b[/tex]