Question

1.Explain what it means to solve a right triangle.
2.Create your own example problem.
3.Show the worked-out solutions to the problem you created.

Answer 1

1 to completely solve it means to find the measures of all 3 angles and sides, given some of these measures

Answer 2

2 we might be given the triangle below

Answer 3

how could we find the length of the hypotenuse x?

Answer 4

what theorem would we use to do this?

Answer 5

i think the trig one lol

Answer 6

yes you could use a trig identity but what about a well known geometrical method?
- it starts with a P.

Answer 7

Pemdas?

Answer 8

No. He's a famous Greek mathematician and philosopher.

Answer 9

c^2 = a^2 + b^2

Answer 10

- for a right angled triangle where c = the longest side.

Answer 11

ok

Answer 12

Pythagoras

Answer 13

yeah lol i remember now.

Answer 14

so can you work out what measure of x is?

Answer 15

i can try yeah hold on.

Answer 16

is it 1?

Answer 17

i don't think so - the longest side can't be 1 if the other 2 are 3 and 4

Answer 18

5?

Answer 19

x^2 = 3^2 + 4^2

find x.

Answer 20

oh ok i got it hold on

Answer 21

25

Answer 22

x^2 = 25
so x = square root 25

Answer 23

So is that are answer?

Answer 24

thats the value of the other side.

Now to find the angles you can use one of the trig ratios sin, cos or tan.

Answer 25

ok