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How do you prove Heron's Formula?
We can prove Heron's formula by the equation method. First of all we should know the height of the triangle and the three sides. The working is given below: s=(a+b+c)/2 We must then find: s-a s-b s-c By data, √[s(s-a)(s-b)(s-c)] =1/2bh If the answers are equal, then Heron's Formula has been proved.
Will the exterior angle theorem work for all triangles?
Yes, all plane triangle.
What is the formula to find the area of an isosceles triangle?
For all triangles: area = 1/2 * base * height
Are all triangles semmetrical?
No. But all isosceles triangles and equilateral triangles are.
Are all equilateral triangles also isoscelles triangles?
Yes. But not all isosceles triangles are equilateral.
Does the formula for the area of a triangle pertain to all triangles including scalene triangles?
The title of the formula is "Formula for the Area of a Triangle". No discrimination is expressed or implied.
Does pythagoras' theorem work for all triangles?
no only right triangles
Does the Pythagoream Theorem Work on all triangles?
No, only right triangles
Why is heron formula important?
Heron's Formula is used for finding the area of a triangle given the lengths of its sides. We do not need any angles at all! In geometry, Heron's formula states that the area of the triangle is square root of [s(s-a)(s-b)(s-c)] where is the the semiperimter which is can be found by (a+b+2)/2
What kind of triangles does the Pythagorean theorem work for?
All right-angles triangles. That is triangles that contain one angle at 90 degrees.
How did Heron contribute to math?
he worked on the formula of area of a triangle if you have all 3 side lengths
How do you prove Heron's Formula?
We can prove Heron's formula by the equation method. First of all we should know the height of the triangle and the three sides. The working is given below: s=(a+b+c)/2 We must then find: s-a s-b s-c By data, √[s(s-a)(s-b)(s-c)] =1/2bh If the answers are equal, then Heron's Formula has been proved.
Will the exterior angle theorem work for all triangles?
Yes, all plane triangle.
What is the formula to find the area of an isosceles triangle?
For all triangles: area = 1/2 * base * height
Some equilateral triangles are not isosceles?
All isosceles triangles are not equilateral triangles
Are all equilateral triangles acute triangles?
Yes all equilateral triangles are acute triangles, but not all acute triangle are equilateral triangles.
Does the Pythagorean Theorem work on all triangles with side length of 1?
It doesn't matter on the side length, but it MUST have a right angle.
