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Mathematics 14 Online
OpenStudy (anonymous):

geometry help with right triangles and trigonometry

OpenStudy (anonymous):

OpenStudy (anonymous):

please help im stuck

OpenStudy (mathstudent55):

You have a special right triangle called a 45-45-90 right triangle. Do you know what that name means?

OpenStudy (anonymous):

no i dont

OpenStudy (mathstudent55):

I'm talking about the first problem.

OpenStudy (mathstudent55):

Do you know that the sum of the measures of the angles of a triangle is 180?

OpenStudy (anonymous):

yeah

OpenStudy (mathstudent55):

Look at the first triangle. One angle is 90 degrees. One angle is 45 degrees. What is the third angle?

OpenStudy (anonymous):

45

OpenStudy (mathstudent55):

Right. The three angles of the triangle measure 45 deg, 45 deg and 90 deg. That is what a 45-45-90 right triangle is.

OpenStudy (mathstudent55):

Now we need to learn something about a 45-45-90 triangle that will help you with your problem.

OpenStudy (anonymous):

ok what is it

OpenStudy (mathstudent55):

Do you know the Pythagorean theorem?

OpenStudy (anonymous):

no i think i forgot

OpenStudy (mathstudent55):

In a right triangle, with sides a and b (called legs) forming the right angle, and side c being the hypotenuse (side opposite the right angle), the Pythagorean theorem states: a^2 + b^2 = c^2 |dw:1383325520248:dw|

OpenStudy (mathstudent55):

There is one more thing you need to know. In a triangle, if two angles are congruent (same measure) the opposite sides are congruent (same length.)

OpenStudy (anonymous):

ohh ok so if it was 45 deg and 45 deg the 3er one will be 45 deg

OpenStudy (anonymous):

nvm continue please

OpenStudy (mathstudent55):

Since you have a 45-45-90 triangle, the two 45-degree angels are congruent, so the opposite sides are also congruent.

OpenStudy (mathstudent55):

|dw:1383326066378:dw|

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