The hypotenuse of a right triangle measures 7 cm and one of its legs measures 2 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.



Answer :

Answer:

6.7cm

Step-by-step explanation:

Using Pythagoras' Theorem,

[tex] {7}^{2} = {2}^{2} + {x}^{2} [/tex]

[tex]49 = 4 + {x}^{2} [/tex]

[tex] {x}^{2} = 49 - 4 = 45[/tex]

Takee square roots of both sides

[tex]x = \sqrt{45} = 3 \sqrt{5} [/tex]

x = 6.7 cm