to find the unknown length of the longest side in a right angled triangle provided the length of the other
two sides is known.
*SHRUGS*
You take the information you're given, make sure you understand the question, write down the Pythagorean Theorem, then look at it to discover how it connects the information you have to the information you need to find.
Do you mean a^2+b^2=c^2? If so, it is the Pythagorean theorem, which is used to find the length of the hypotenuse in a right triangle.
Well this is a very simple problem if you read it correctly. Using the Pythagorean Theorem, you can solve it very quickly. The problem creates a triangle. The 8 feet forms the smallest leg, the 10 feet forms the larger leg, and the length of the stair stringer forms the hypotenuse, or in this case x. (When I first read the problem, I made the mistake of thinking of it as a Pythagorean Triple, and 6 feet quickly popped into my head from a 3,4,5 triangle. But the problem, if not read carefully can throw you off as to which numbers go to which sides.) Using the Pythagorean Theorem, you conclude to... 82 + 102 = x2 64 + 100 = x2 164 = x2 2 square roots of 41 = x, or approximately 12.81 feet.
The hypotenuse is about 12.04 units.To solve this problem, the Pythagorean Theorem will come into play.The basis of the Pythagorean Theorem isa2 + b2 = c2Where a and b are the legs of a right triangle and c is the hypotenuse.So in this case, we would use 8 and 9 in place of a and b, respectively, resulting in82 + 92 = c2which converts into64 + 81 = c2which further converts to145 = c2√145 =12.04
*SHRUGS*
You take the information you're given, make sure you understand the question, write down the Pythagorean Theorem, then look at it to discover how it connects the information you have to the information you need to find.
base*base+perpendicular*perpendicular= hypotenuese*hypotenuese
Do you mean a^2+b^2=c^2? If so, it is the Pythagorean theorem, which is used to find the length of the hypotenuse in a right triangle.
Well this is a very simple problem if you read it correctly. Using the Pythagorean Theorem, you can solve it very quickly. The problem creates a triangle. The 8 feet forms the smallest leg, the 10 feet forms the larger leg, and the length of the stair stringer forms the hypotenuse, or in this case x. (When I first read the problem, I made the mistake of thinking of it as a Pythagorean Triple, and 6 feet quickly popped into my head from a 3,4,5 triangle. But the problem, if not read carefully can throw you off as to which numbers go to which sides.) Using the Pythagorean Theorem, you conclude to... 82 + 102 = x2 64 + 100 = x2 164 = x2 2 square roots of 41 = x, or approximately 12.81 feet.
The hypotenuse is about 12.04 units.To solve this problem, the Pythagorean Theorem will come into play.The basis of the Pythagorean Theorem isa2 + b2 = c2Where a and b are the legs of a right triangle and c is the hypotenuse.So in this case, we would use 8 and 9 in place of a and b, respectively, resulting in82 + 92 = c2which converts into64 + 81 = c2which further converts to145 = c2√145 =12.04
Componential/Analytical intelligence
Beacause it works
There are infinitely many possible answers. 1 + 121 is one possible answer.
Measure it with a ruler or a compass. Also, if this is a purely theoretical problem and you have no actual square to measure, remember that the diagonal line cuts the square into two right triangles, which therefore can be analysed by the use of the famous Pythagorean Theorem.
There are infinitely many possible answers. One such is 530*0.1
1*84 is one of infinitely many possible answers.