Question

The length of the hypotenuse of a 30-60-90 triangle is 15. What is the perimeter?

Answer 1

the ratios of a 30 - 60 - 90 right triangle are \(1:\sqrt3:2\)
that means the short side is half the hypotenuse

Answer 2

and the long side is the short leg times \(\sqrt3\)

Answer 3

your hypotenuse is 15, what is half of that?

Answer 4

wait I don't get it...

Answer 5

what is half of 15?

Answer 6

half of 15 is 7.5

Answer 7

ok so the hypotenuse is 15, that means the short leg of the triangle is \(7.5\) half of the hypotenuse

Answer 8

all that you need now is the long leg, the side opposite the 60 degree angle
to find that, multiply the short leg by \(\sqrt3\)

Answer 9

or just write
\[7.5\times \sqrt3\]

Answer 10

12.990 which rounded is 13

Answer 11

are you supposed to give a decimal as an answer?

Answer 12

probably not. so do i keep it has 7.5*sqrt3

Answer 13

yeah if you don't need a decimal final answer is
\[15+7.5+7.5\sqrt3\] or
\[22.5+7.5\times \sqrt3\]

Answer 14

had to add because you were asked for the perimeter

Answer 15

okay, thanks for the help

Answer 16

yw