Question

Applying the 45-45-90 special right triangle rules, find the value of m and N

Answer 1

For this problem we know two angles given 45º and 90º we can fidn the other angle with this operation:

`<3=180º-90º-45º=45º`

And we know one size who represent the hypothenuse given by:

`7√(2)`

Since we want to find the value of m we can use this formula:

`sin\text{ 45º=}(m)/(7√(2))`

And we know that :

`\text{ sin 45=}(√(2))/(2)=(m)/(7√(2))`

And solving for m we got:

`m=(7√(2)√(2))/(2)=(7\cdot2)/(2)=7`

The final solution for this case would be m=7