Formulas for Triangle Perimeter & Height

In summary, the formula for finding the perimeter of a triangle is to add together the lengths of all three sides. The height of a triangle can be found using the formula h = (2 * area) / base or by using the Pythagorean Theorem. It is possible to find the perimeter of a triangle if you know the length of one side and the height by using the Pythagorean Theorem to find the other two sides. The unit of measurement used for finding the perimeter and height of a triangle can vary. Finally, the formula for finding the perimeter and height of a triangle can be used for any type of triangle, but the values may differ depending on the type of triangle.
  • #1
loquetedigo
14
0
Write the following formulas:

a) The minimum perimeter of any triangle (abc) only known heights corresponding to the sides a and b.

b) The maximum height and minimum corresponding to the side b of any triangle (abc) only known the value of its perimeter and height corresponding to the side a.
 
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  • #2
Can you perhaps provide some diagrams and show what you've tried?
 

FAQ: Formulas for Triangle Perimeter & Height

What is the formula for finding the perimeter of a triangle?

The formula for finding the perimeter of a triangle is simply adding together the lengths of all three sides of the triangle. This can be represented as P = a + b + c, where P is the perimeter and a, b, and c are the lengths of the three sides.

How do you find the height of a triangle using the perimeter and base?

To find the height of a triangle, you can use the formula h = (2 * area) / base, where h is the height, area is the area of the triangle, and base is the length of the base. Alternatively, you can use the Pythagorean Theorem to find the height by first finding the length of the third side of the triangle using the perimeter and base, and then using that length as the hypotenuse in the equation c^2 = a^2 + b^2, where c is the hypotenuse and a and b are the other two sides.

Can you find the perimeter of a triangle if you only know the length of one side and the height?

Yes, you can find the perimeter of a triangle if you know the length of one side and the height. You can use the Pythagorean Theorem to find the length of the other two sides, and then add all three sides together to get the perimeter.

Is there a specific unit of measurement that should be used when finding the perimeter and height of a triangle?

The unit of measurement used for finding the perimeter and height of a triangle can vary depending on the specific problem or context. It is important to be consistent with units and use the same unit for all measurements in order to get an accurate result.

Can the formula for finding the perimeter and height of a triangle be used for any type of triangle?

Yes, the formula for finding the perimeter and height of a triangle can be used for any type of triangle, including equilateral, isosceles, and scalene triangles. However, the specific values of the sides and height may vary depending on the type of triangle.

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