You use the information you're given, combined with all of the equations, formulas,
and relationships you know concerning the parts of a right triangle, to find the item
of information that you don't know yet. So the process you follow depends on the
information you're given.
For example, if you're given the lengths of the two legs of the triangle, and you're
told that the triangle is a right triangle, then you use the Pythagorean equation
C2 = A2 + B2
to find the length of the hypotenuse.
Chat with our AI personalities
Pythagoras Theroem: a2 + b2 = c2Where a and b form a right angle and c is the hypotenus (longest side of a right angle triangle)=> 102 + 102 = c2{calculate the powers}=> 200 = c2{sqare root both sides}=> c = sqrt(200)c = sqrt(200) or 10*sqrt(2)
The answer depends on what other information you have about the triangle.
An isosceles right triangle will always have its shorter sides of the same length, and the hypotenuse will always be this length times sin(45o) or times the square root of 0.5.
The sine function is used in trigonometric calculations when attempting to find missing side lengths of a right triangle. The sine of an angle in a triangle is equal to the length of the side opposite of that angle divided by the length of the hypotenuse of the triangle. Using this fact you can calculate the length of the hypotenuse if you know an angle measure and the length of one leg of the triangle. You can also calculate the length of a leg of the triangle if you know an angle measure and the length of the hypotenuse.
If you're only given the base, then you can't calculate the other leg. If you have any one of the following, then you can calculate all of the parts of the triangle: -- length of the other leg -- length of the hypotenuse -- size of either acute angle