Question

1
note: figure is not drawn to scale.
if ( n = 37 mathrm{cm} ) and ( l = 12 mathrm{cm} ), what is the length of ( m )?
a. ( 35 mathrm{cm} )
b. ( 34 mathrm{cm} )
c. ( 33 mathrm{cm} )
d. ( 39 mathrm{cm} )

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(n^{2}=l^{2}+m^{2}\), so \(m^{2}=n^{2}-l^{2}\).

Step2: Substitute values

Given \(n = 37\) and \(l = 12\), then \(m^{2}=37^{2}-12^{2}\).

$$
LATEXBLOCK0
$$

Step3: Find \(m\)

Take square root of \(m^{2}\), \(m=\sqrt{1225}=35\).

Answer:

A. \(35\) cm