2006-06-12 03:35:55 · 26 answers · asked by georgia_gal461 1 in Education & Reference ➔ Homework Help
a² + b² = c²
Where c is the hypotenuse.
Does (5 x 5) + (12 x 12) = (13 x 13) ?
25 + 144 = 169, so yes it is right.
2006-06-12 03:38:47 · answer #1 · answered by philk_ca 5 · 7⤊ 3⤋
A 5-12-13 triangle is a right triangle
Use Pythagorean theorem for proof: does 5^2 + 12^2 = 13^2?
Yes it does.
2006-06-12 13:18:58 · answer #2 · answered by jimbob 6 · 0⤊ 0⤋
Yes. a^2+b^2=c^2
2006-06-12 10:42:00
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answer #3
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answered by anonymous 3
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5^2+12^2=13^2
25+144=169
169=169
The general rule is:
If a^2+b^2>c^2, the triangle is acute.
If a^2+b^2=c^2, the triangle is right (c is the longest side).
If a^2+b^2
It can be a right angled triangle with sides of 5 and 12 and the hypotenuse would be 13, that is the side opposite the right angle would be 13.
2006-06-12 10:41:51 · answer #4 · answered by MARTIN B 4 · 0⤊ 0⤋
Yes because 13 squared is equal to 12 squared plus 5 squared. 13 has to be the hypotnuse because it is the longest. If the hypotnuse squared or longest side squared is greater than the sum of the squares of the legs or other 2 sides then it is an obtuse triangle. If the hypotnuse squared or longest side squared is less than the sum of the squares of the legs or other 2 sides then it is an acute triangle. If the sum of the 2 shortest sides is less than the length of the longest side then it is not a triangle.
2006-06-12 10:39:44 · answer #5 · answered by Titainsrule 4 · 0⤊ 0⤋
yes. according to the pythagoras theorm the square of longest side i.e. hypotenuse is equal to the sum of the squares of other two sides in a right triangle. 5,12 , 13 are true to this condition as sq. of 13 is 169. and sq of 12(144) + sq of 5(25) = 169.
therfore this is a right triangle.
2006-06-12 10:42:08 · answer #6 · answered by thunderstruck 2 · 0⤊ 0⤋
yes only if 13 is the length of the hypotenous
12square+5square=144+25=169
13square=169
so its a right angle triangle
2006-06-12 10:39:08 · answer #7 · answered by Rafter 2 · 0⤊ 0⤋
I believe that a true triangle has 3 equal length sides.
2006-06-12 10:38:00 · answer #8 · answered by Anonymous · 0⤊ 0⤋
Just draw it. one line 5" long, one line at 90 degrees to it at 12" long and then measure the length of the other side. Is it 13"?
Yup it is.
2006-06-12 10:43:49 · answer #9 · answered by vmmhg 4 · 0⤊ 0⤋
to find out, what you do is 5x5 + 12x12=13x13
25 + 144 = 169
169 = 169
yes its a right triangle.
2006-06-12 10:48:16 · answer #10 · answered by Anonymous · 0⤊ 0⤋