Question

What is the length of the missing leg

Answer 1

Answer:

4.33

Step-by-step explanation:

1. Pythagoras Theorem

$25 = \sqrt{3^{2}+b^{2}}$

2. Find b

$5 = 3^{2}+b^{2}$

$b^{2}$ = $5-3^{2}$ = $5-9$ = -4

but sqrt(-4) is not possible

b ≅ 4

OR (Require trig knowledge)

1. Sine Rule

$\frac{a}{sin\alpha}=\frac{b}{sin\beta}=\frac{c}{sin\pi }$

2. Plug in numbers

$\frac{5}{sin90}=\frac{b}{sin60}=\frac{3}{sin30}$

b ≅ 4.33