How to find the perimeter of a right triangle - High School Math
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Based on the information given above, what is the perimeter of triangle ABC?
Based on the information given above, what is the perimeter of triangle ABC?
Consult the diagram above while reading the solution. Because of what we know about supplementary angles, we can fill in the inner values of the triangle. Angles A and B can be found by the following reductions:
A + 120 = 180; A = 60
B + 150 = 180; B = 30
Since we know A + B + C = 180 and have the values of A and B, we know:
60 + 30 + C = 180; C = 90
This gives us a 30:60:90 triangle. Now, since 17.5 is across from the 30° angle, we know that the other two sides will have to be √3 and 2 times 17.5; therefore, our perimeter will be as follows:
Consult the diagram above while reading the solution. Because of what we know about supplementary angles, we can fill in the inner values of the triangle. Angles A and B can be found by the following reductions:
A + 120 = 180; A = 60
B + 150 = 180; B = 30
Since we know A + B + C = 180 and have the values of A and B, we know:
60 + 30 + C = 180; C = 90
This gives us a 30:60:90 triangle. Now, since 17.5 is across from the 30° angle, we know that the other two sides will have to be √3 and 2 times 17.5; therefore, our perimeter will be as follows:
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Three points in the xy-coordinate system form a triangle.
The points are 
.
What is the perimeter of the triangle?
Three points in the xy-coordinate system form a triangle.
The points are
What is the perimeter of the triangle?
Drawing points gives sides of a right triangle of 4, 5, and an unknown hypotenuse.
Using the pythagorean theorem we find that the hypotenuse is 
.
Drawing points gives sides of a right triangle of 4, 5, and an unknown hypotenuse.
Using the pythagorean theorem we find that the hypotenuse is
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What is the perimeter of a triangle with side lengths of 5, 12, and 13?
What is the perimeter of a triangle with side lengths of 5, 12, and 13?
To find the perimeter of a triangle you must add all of the side lengths together.
In this case our equation would look like 
Add the numbers together to get the answer 
.
To find the perimeter of a triangle you must add all of the side lengths together.
In this case our equation would look like
Add the numbers together to get the answer
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Find the perimeter of the following triangle:
Find the perimeter of the following triangle:
The formula for the perimeter of a right triangle is:
where 
is the length of a side.
Use the formulas for a a 
triangle to find the length of the base. The formula for a 
triangle is 
.
Our 
triangle is: 
Plugging in our values, we get:
The formula for the perimeter of a right triangle is:
where
Use the formulas for a a
Our
Plugging in our values, we get:
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Find the perimeter of the following right triangle:
Find the perimeter of the following right triangle:
The formula for the perimeter of a right triangle is:
where 
is the length of a side.
Use the formulas for a 
triangle to find the length of the base and height. The formula for a 
triangle is 
Our 
triangle is: 
Plugging in our values, we get:
The formula for the perimeter of a right triangle is:
where
Use the formulas for a
Our
Plugging in our values, we get:
Compare your answer with the correct one above