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You cannot - unless there is some other information. For example, that the triangle is isosceles, or that one of the shorter sides is related to the other is some way. Or there is another triangle (or other shape) from which you can work out one of the sides.

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Q: How do you solve a Pythagoras problem when the two shorter sides are both unknown?
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Related questions

Why did Pythagoras discovered Pythagoras theorem?

Pythagoras discovred it to find unknown sides in a right angled triangle


What is Pythagoras best remembered for?

Pythagoras is most famous for discovering Pythagoras' Theorem, which is a formula for finding lengths of sides on a right angled triangle. The formula is: a2+b2= c2 where c is the hypotenuse (longest side of the triangle) and a and b are the shorter sides.


What did Pythagoras invent?

Pythagoras invented the Pythagorean theorem: a^2 + b^2 = c^2 where a and b are the two shorter sides in a right triangle and c is the hypotenuse.


Height of an isosceles triangle?

If you know the length of the sides, you can use Pythagoras' Theorem to calculate the height. Use half the base for one of the shorter sides, and either of the two identical sides of the triangle for the hypothenuse. Solve for the other one of the shorter sides (the height).


What was Pythagoras's legacy?

Pythagoras was a Greek philosopher and mathematician who lived around 500 BC. He discovered/created the Pythagorean theorem, whereby the squares of the two shorter sides of the triangles are equal to the square of the hypotenuse, or longest side. His famed formula is: a2 + b2 = c2 where a= the length of one of the shorter sides, b=the length of the other shorter side, and c=the length of the longest side, or hypotenuse.


How do you find the height of a cone when only given the radius and length?

The height of?æ a cone is found by use of Pythagoras theorem. Pythagoras theorem states that the sum of the squares of two shorter sides (in this case, the shorter sides are?æ the height and radius of the cone) are equal to?æ the square of the longer side (for this case the longer side is the length of the cone).


What is Pythagoras?

It is the longest side in a right-angled triangle. You can find it by squaring and adding together the two shorter sides and when you get the answer, find the square root of the number.


In the Pythagorean Theorem (a2 plus b2 c2) a and b stand for the lengths of the shorter sides and c stands for .?

For a right angle triangle in Pythagoras' theorem of a2+b2 = c2 the letters a and b stand for the shorter sides and c stands for the longest side which is the hypotenuse.


Who understood the relation ship between the 2 shorter sides and the hypotenuse in a right angled triangle before Pythagoras?

The Babylonians and Ancient Egyptians but it is tradionally given to Pythagoras that for a right angle triangle a2+b2 = c2 whereas a and b are the sides of the triangle with c being its hypotenuse or longest side


What is the length of the longest side of a right angled triangle if the two shorter sides are 6cm and 8cm?

Using Pythagoras' theorem the longest side which is the hypotenuse works out as 10cm


What is the theory of the sum of square of the two shorter sides is equal the square of the longest hypotenuse side?

This pertains to right angled triangles and is called the pythagoras theorem or theory


What is the length of the longest side of a right triangle if the lengths of the two shorter sides are 6 centimeters and 8 centimeters?

Using Pythagoras' theorem the hypotenuse works out as 10 cm