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How can it be proved that the circumradius of a triangle is the product of three sides divided by four times the area of the triangle?
Wiki User
∙ 14y ago
We know that R = a/2sinA
area of triangle = 1/2 bc sinA
sin A = 2(area of triangle)/bc
R = (a/2)*2(area of triangle)/bc
R = abc/4*(area of triangle)
Wiki User
∙ 14y ago
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Which statement about triangles cannot be proved for all triangles?
if a triangle is acute, then the triangle is equilateral
What is a statement that has been deductively proven?
A theorem is proven. An example is The "Pythagoras Theorem" that proved that for a right angled triangle a2 + b2 = c2
Who is the mathematician who derived a formula to calculate the relationship between sides of a right triangle?
Pythagoras proved it, but it may well have been discovered and used before his time.
What if the altitude to the hypotenuse of a right triangle is the geometric mean between the segments on the hypotenuse?
Always true. To see this draw the circle which passes through the three points of the triangle. Reproduce the reflection of the triangle on the hypotenuse (which passes through the centre). Then use the theorem of intersecting chords of a circle to give the result immediately. It's also simply proved by algebra.
Who discovered Techans Triangle?
The Techans Triangle was discovered by the mathematician, Pierre de Fermat in 1637. He first proposed the famous equation x^n + y^n = z^n and it became known as Fermat's Last Theorem. This equation was later proved to be true in 1995 by Andrew Wiles after more than 350 years of effort by mathematicians around the world.
Which statement about triangles cannot be proved for all triangles?
if a triangle is acute, then the triangle is equilateral
Who proved the angle sum property of a triangle?
Euclid and Pythagoras.
A statement that can be proved easily using a theorem or a definition?
fact
What percentage should a product be proved to before baking?
100%
Who proved Euclid's theorem that the interior angles of any triangle always sum to 180 degrees?
Chndrakant Sir
What is the Bermuda Triangle capable of?
There is a legend that whoever flies in the zone of the Bermuda Triangle disappears forever. This has happened to people who flew in this area, but it hasn't been proved if it's just a coincidence.
Who is the Pythagoras?
Pythagoras was an ancient Greek mathematician who proved that the hypotenuse of a right angle triangle when squared is equal to the sum of its squared sides.
What is a statement that has been deductively proven?
A theorem is proven. An example is The "Pythagoras Theorem" that proved that for a right angled triangle a2 + b2 = c2
What did pythagaes?
If you mean Pythagoras then he was an ancient Greek mathematician who proved that for any right angle triangle that when its hypotenuse is squared that it is equal to the sum of its two squared sides.
Who is the mathematician who derived a formula to calculate the relationship between sides of a right triangle?
Pythagoras proved it, but it may well have been discovered and used before his time.
What if the altitude to the hypotenuse of a right triangle is the geometric mean between the segments on the hypotenuse?
Always true. To see this draw the circle which passes through the three points of the triangle. Reproduce the reflection of the triangle on the hypotenuse (which passes through the centre). Then use the theorem of intersecting chords of a circle to give the result immediately. It's also simply proved by algebra.
Does the Bermuda triangle really eat people up?
The Bermuda Triangle is a lot of nonsense. Most of the disappearances can be explained with investigations. NOVA, the PBS science show, looked into the Bermuda Triangles and proved it was much ado about nothing. The main reason people talk about the Bermuda Triangle is make money from gullible individuals.
