2007-05-18 05:48:06 · 10 answers · asked by The Truth 1 in Science & Mathematics ➔ Mathematics
Algebraic Expression...the "x" variables represents the hypotenuse which, is the longest side of a triangle.
a = 6
b = 8
c = __
The pythagoreon thereom is a^2+b^2 = c^2
First: replace/substitute the numbers with the corresponding variables.
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
Sec: eliminate the exponent - find the square root of both sides.
V`(100) = V`(c^2)
10 = c or, c = 10
2007-05-18 06:05:50 · answer #1 · answered by ♪♥Annie♥♪ 6 · 1⤊ 0⤋
10
2007-05-18 05:54:52 · answer #2 · answered by remileblanc18 2 · 0⤊ 0⤋
10
2007-05-18 05:50:18 · answer #3 · answered by ed the ash 3 · 0⤊ 0⤋
For a suited triangle, use the Pythagorean Theorem: a squared + b squared = c squared (the place a and b are legs and c is the hypotenuse). The hypotenuse of a triangle is the longest component and the legs are the two shorter facets. a squared + 7 squared = 12 squared a squared + 40 9 = a hundred and forty four a squared = a hundred and forty four - 40 9 a squared = ninety 5 a = the sq. root of ninety 5 a = 9.seventy 5 in this next concern, 17 is the hypotenuse and 14.6 is a leg. we are finding for the 2d leg. So: a squared + 14.6 squared = 17 squared a squared + 213.sixteen = 289 a squared = 289 - 213.sixteen a squared = seventy 5.eighty 4 a = the sq. root of seventy 5.eighty 4 a = 8.71 inches
2016-12-11 13:11:06 · answer #4 · answered by kobayashi 4 · 0⤊ 0⤋
I will give you a fact that will help you with other problems like this in geometry and standardized tests like the SAT. 3-4-5 is THE most common Pythagorean triple, and any multiple of those numbers is also a Pythagorean triple. Multiply 3-4-5 by 2 and you get 6-8-10. Just make sure the biggest number is the hypotenuse.
By the way, 5-12-13 is the second most common Pythagorean triple.
2007-05-18 06:00:49 · answer #5 · answered by Kathleen K 7 · 0⤊ 0⤋
3, 4, 5 is a common right triangle.
6, 8, 10 would be another triangle based on the same proportions.
You could have used a^2 + b^2 = c^ and put a = 6, b = 8
36 + 64 = 100 = 10^2
So, 10.
2007-05-18 05:51:17 · answer #6 · answered by tbolling2 4 · 0⤊ 0⤋
You can always call on Uncle Pythagoras:
√(6^2 + 8^2) = √(36+64) = √100 = 10.
Also, if you remember some of your Pythagorean triplets, 3:4:5 is one of them. 6 and 8 are in a 3:4 ratio, so in this case the hypotenuse follows the same ratio. 3*2=6 and 4*2=8, so 5*2=10.
2007-05-18 05:51:33 · answer #7 · answered by Anonymous · 2⤊ 0⤋
10 feet. Use c² = a²+b², plug in 6 and 8 for a and b
and solve.
2007-05-18 07:00:10 · answer #8 · answered by steiner1745 7 · 0⤊ 0⤋
a^2 + b^2 = c^2
6^2 + 10^2 = c^2
36 + 100 = c^2
136 = c^2
square root 136 = c
2007-05-18 06:00:13 · answer #9 · answered by Jen 2 · 0⤊ 0⤋
this is a 3,4, 5 triangle so 10ft
2007-05-18 05:51:18 · answer #10 · answered by Poor one 6 · 0⤊ 0⤋