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#1 2015-07-17 12:04:30

dferg0
Member
Registered: 2015-07-17
Posts: 1

Special Right Triangles Show Your Work

I have 6 days to complete 19 math lessons. I need work show too. Thanks.

If you have a 45-45-90 triangle:

1.  And the length of one leg is 3, what is the length of the other leg?

2. With a hypotenuse of SQRT(6), what is the length of one leg?

3. And one leg has a length of 5, what is the length of the hypotenuse?

4. With a hypotenuse of 7[SQRT(2)], what is the length of one leg?

5. With a hypotenuse of 6[SQRT(6)], what is the length of one leg?

6. And one leg has a length of SQRT(8), what is the length of the hypotenuse?

7. And one leg has a length of SQRT(32), what is the length of the hypotenuse?

8. With a hypotenuse of SQRT(3), what is the length of one leg?

9. With a hypotenuse of 6, what is the length of one leg?

10. And one leg has a length of 7[SQRT(72)] what is the length of the hypotenuse?

If you have a 30-60-90 triangle:

11.  And the length of the shortest leg is 4, what's the length of the hypotenuse?

12. Working from #11, what's the length of the other leg?

13. And the length of the longest leg is 5[SQRT(3)], what's the length of the other leg?

14. Working from #13, what's the length of the hypotenuse?

15. And the length of the longest leg is 9, what is the length of shortest leg?

16. Working from #15, what is the length of the hypotenuse?

17. With a hypotenuse of 2[SQRT(3)] what is the length of the longest leg?

18. Working from #17, what is the length of the shortest leg?

19. And the length of the shortest leg is SQRT(12), what is the length of the longest leg?

20. Working from #19, what is the length of the hypotenuse?

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#2 2015-07-17 17:31:31

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: Special Right Triangles Show Your Work

Right-angle triangles are solved using the Pythagoras theorem. Given a right-angled triangle with sides a, b, c, (a and b are the sides inclined at 90°; c is the longest side-hypotenuse), then the square of the side a added to the square of the side b, gives the square of the hypotenuse c.
                        a^2 + b^2 = c^2
The above definition is Pythagoras' theorem.

This is the simplest way to tackle your questions. Do you know a little about Trigonometry? You may use that too. But I believe you'll be fine with Pythagoras theorem. Let us know if you still have challenges. Depending on the side you're asked to find, just do change of subject.


Only a friend tells you your face is dirty.

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#3 2015-07-17 18:35:09

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: Special Right Triangles Show Your Work

So you have to show working right? Here goes.

1.  And the length of one leg is 3, what is the length of the other leg?


2. With a hypotenuse of SQRT(6), what is the length of one leg?


Only a friend tells you your face is dirty.

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#4 2015-07-20 01:40:30

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: Special Right Triangles Show Your Work

Hello dferg0,

                       Were you able to solve the questions? How did it go?


Only a friend tells you your face is dirty.

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