there is a right angle triangle with one side equals 8.7 and another side equals 11.7. what is the length of the diagonal line?
please show the equation or show your work. thanks!
2006-10-09 08:26:35 · 13 answers · asked by me 2 in Science & Mathematics ➔ Mathematics
wow...why couldn't i remember that? i'm feeling a bit dumb now, but oh well. Please no more answers. thanks!
2006-10-09 08:36:33 · update #1
c² = b² + a²
c² = 11.7² + 8.7²
c² = 212.58
c = 14.58
2006-10-09 08:32:53 · answer #1 · answered by bequalming 5 · 3⤊ 0⤋
Most of the people here are correct- all u have 2 do is use Pythagors' Theorem:
(one side)^2 + (other side)^2=(diagonal line)^2 OR
(8.7)^2 + (11.7)^2=14.58 (units)
On a friendly note, there's no such thing as a "diagonal line". The longest side of a right angled triangle (the one facing the right angle) is called a hypotenuse. Any diagonal line could look striaght if you rotate it to look so, and vice versa. The hypotenuse in a right angled triangle could indeed look horizontal, vertical or just about any other angle u can think of, so that the other 2 sides of the triangle would move along, maintaining the shape intact.
2006-10-09 08:36:59 · answer #2 · answered by Yankuta118 2 · 0⤊ 0⤋
Use the Pythagorean Theorem:
a^2 + b^2 = c^2
where a and b are the sides, and c is the digaonal line (the hypotenuse).
Plug in a=8.7 and b=11.7, and then solve for c.
2006-10-09 08:27:53 · answer #3 · answered by James L 5 · 2⤊ 0⤋
It's pythagoras' theorem: c^2 (the diagonal line) = a^2 + b^2 (the two perpendicular lines). So therefor c (the diagonal line) = the square root of (8.7)^2 + (11.7)^2 = approx. 14.58
2006-10-09 08:32:41 · answer #4 · answered by Anonymous · 2⤊ 0⤋
Pythagorean Theorem:
to Find the length of the long side of the right triangle, you
add the value of the square of the two sides which are joined at the right angle then take the square root of the sums of those two numbers.
or X Squared + Y Squared = Z Squared
8.7 Squared = 75.69
11.7 Squared = 136.89
result = 212.58
Square root of 212.58 = 14.580123456
So your "long" side is 14.58
2006-10-09 08:46:11 · answer #5 · answered by Clout 3 · 0⤊ 0⤋
Actually it is trig. You're looking for the hypotenuse.
{(8.7)^2 + (11.7)^2}^1/2 = 14.58
(square each side, add them, take sq.root of sum)
2006-10-09 08:39:28 · answer #6 · answered by Anonymous · 0⤊ 0⤋
Assuming the two given sides are the shortest sides of the triangle,
sqrt (8.7^2 + 11.7^2) = sqrt(212.58) = 14.58
If the longest side is 11.7, then
sqrt(11.7^2 - 8.7^2) = sqrt(61.2) = 7.82
2006-10-09 08:29:52 · answer #7 · answered by dutch_prof 4 · 1⤊ 1⤋
I bear in mind that there is a thorem that if the two factors of a traingle are equivalent then the attitude opposite to them are additionally same. Please see the thorem. So the bisectors make a isoscele traingle with the part in between the angles have been getting bisected.i will later write you the data of the theorm. because of the fact the each and every a million/2 of the angles are equivalent, then the completed angles are equivalent. here you chanced on the two angles are equivalent. As in keeping with definition: in a traingle if the two angles are equivalent, then that traingle is termed a isoscele traingle.
2016-10-16 00:25:35 · answer #8 · answered by ? 4 · 0⤊ 0⤋
a squared plus b squared equals c squared
a^2 + b^2 = c^2
Since you know a and b, square them each, then add the squares.
With that result, take the square root.
For example, if the sides were 3 and 6, we'd get:
3^2 + 6^2 = c^2
9 + 16 = c^2
25 = c^2 <------- take the square root of each side of the equation.
5 = c
Get it?
2006-10-09 08:27:32 · answer #9 · answered by andalucia 3 · 0⤊ 1⤋
A^2 + B^2 = C^2
where C is the hypoteneuse or diagonal as you called it
2006-10-09 08:28:00 · answer #10 · answered by Greg G 5 · 2⤊ 0⤋