## sloppycanada one year ago The length of the hypotenuse of a 45°-45°-90° triangle is 8 units. Find the exact value of the length of the leg.

1. Vocaloid

leg = hypotenuse/(square root of 2)

$8\sqrt{2}$

3. Vocaloid

/ means divide

4. Vocaloid

8 divided by sqrt(2)

$8$

6. Vocaloid

|dw:1443493557082:dw|

$\frac{ 8 }{ \sqrt{2} }$

8. Vocaloid

good, we can simplify that as 4*sqrt(2)

9. Vocaloid

|dw:1443493612226:dw|

10. Vocaloid

|dw:1443493632919:dw|

The length of the hypotenuse of a 30°-60°-90° triangle is 12 units. Find the exact value of the length of the short leg.

12/sqrt2? @Vocaloid

13. Vocaloid

nope, this is a different type of triangle short leg = (1/2)(hypotenuse)

so 6?

The hypotenuse of a 30°-60°-90° triangle is 10 units. Find the exact value of the length of the long leg. @Vocaloid

16. Vocaloid

|dw:1443493989090:dw|

5*sqrt3? @Vocaloid

18. Vocaloid

good