Question

A right triangle has a side of length 1 fourth and a hypotenuse of length 1 third. What is the length of the other side?

Answer 1

Answer:

The other side = $\frac{1}{12}$ units

Step-by-step explanation:

A right triangle has a side of length $\frac{1}{4}$ units and;

the hypotenuse is $\frac{1}{3}$

According to Pythagorean theorem,

a² + b² = c² , where a and b are the two legs of a triangle and c is the hypotenuse.

Lets say a² = $(\frac{1}{4}) ^2$   and  c² = ($(\frac{1}{3} )^2$

b² = c² - a²

b² = $\frac{1}{9}$ - $\frac{1}{16}$ = $\frac{1}{144}$

So b = $\sqrt{1/144}$ = $\frac{1}{12}$ units.

So the other side = $\frac{1}{12}$ units.