If one side of a right triangle measures 8, and the adjacent side measures 6, what is the diagonal side measure?
2007-01-16 08:57:17 · 12 answers · asked by keyboard 2 in Science & Mathematics ➔ Mathematics
Use the Pythagorean theorem.
If you have a right triangle (90 degree angle) with sides a and b and hypotenuse (diagonal) of c, then the Pythagorean theorem is:
a² + b² = c²
In your case, you have sides 6 and 8:
6² + 8² = c²
36 + 64 = c²
100 = c²
10 = c
So the length of the hypotenuse (diagonal) is 10.
2007-01-16 09:00:39 · answer #1 · answered by Puzzling 7 · 0⤊ 0⤋
2
2007-01-16 09:00:03 · answer #2 · answered by Anonymous · 0⤊ 1⤋
10
2007-01-16 09:00:42 · answer #3 · answered by Thomas K 6 · 0⤊ 0⤋
You the Pythagorean theorem a^2+b^2=c^2.
a=8
b=6
8^2+6^2=c^2
64+36=c^2
100=c^2
10=c
The diagonal side measures 10 units.
2007-01-16 09:05:59 · answer #4 · answered by j_son_06 5 · 0⤊ 0⤋
This is the Pythagorean Theorem. If the two adjacent sides are a and b, respectively, and the diagonal side is c, then
The square of side a plus the square of side b equals the square of side c.
2007-01-16 09:00:43 · answer #5 · answered by All hat 7 · 0⤊ 0⤋
in a right traingle with diagonal side C the following is always true:
C²=A²+B²
so the diagonal side is the positive square root of 36+64, which is 10
2007-01-16 09:03:23 · answer #6 · answered by iron_pennywise 1 · 0⤊ 0⤋
use the pythagoran theorem
a^2+b^2=c^2
A and B are the sides, c is the diagonal.
In this case c=10, because this is your standard 3,4,5 triangle.
Oh, and ^2 is "squared" in case you're wondering.
2007-01-16 09:07:04 · answer #7 · answered by constantsugarhigh7 3 · 0⤊ 0⤋
10..
It's a^2 + b^2 = c^2.
a and b are the two sides that touch the right angle, and c is the diagonal(also known as the hypotenuse).
2007-01-16 09:01:47 · answer #8 · answered by mkn 2 · 0⤊ 0⤋
Pythagoras' theorem - the square of the hypotenuse (diagonal, longest side) is equal to the sum of the squares of the other two sides.
6 squared + 8 squared = hypotenuse squared.
36 + 64 = 100
therefore square root of 100 = 10
The length of the hypotenuse is 10.
2007-01-16 09:01:05 · answer #9 · answered by Jonathan R 2 · 0⤊ 0⤋
Pythagorean theorem my friend. The diagonal side will be 10.
2007-01-16 09:01:22 · answer #10 · answered by Han J Solo 2 · 0⤊ 0⤋