Mathematics: 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?

A right triangle has a side of length 1 fourth and

cheergirl2133

30.01.2022

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.

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angelisabeast5430

24.03.2023

38 foot

Step-by-step explanation:

Given in question as length of ladder against the wall is 43 foot

and angle making between ladder foot and ground = 29.37

Look at the figure ,

Now we write this as cos angle =

i.e cos 29.37 =

or base = 43 cos 29.37

Base = 37.47

Or Distance of ladder from base of building is 38 foot ( Answer)

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