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Special Right Triangles

# Special Right Triangles

In a 30-60-90 triangle:

• The length of the longer leg is $\sqrt{3}$ times the length of the shorter leg.
• The length of the hypotenuse is 2 times the length of the shorter leg.

Fing g.

a) $\sqrt{6}$ miles
b) $3\sqrt{3}$ miles
c) 3 miles
d) 6 miles

Use the length of the shorter leg to find the length of the hypotenuse. Write an equation and solve.

hypotenuse = 2 · shorter leg

g = 2·3 plug in

g = 6 Multiply

So, g = 6 miles.

Find g.

 2 in

2 in
${4}$ in
${6}$ in
$\sqrt{2}$ in