A 45-45-90 degree triangle with legs of length 1 unit. Call this trianlge T1.
What is the name of the process that allows you to calculate the length of the hypotenuse of this triangle?
Calculate the exact value lenght of the hypotenuse of the trianlge.
What kind of triangle is this?
2007-12-21 07:51:42 · 9 answers · asked by cher-roll 2 in Science & Mathematics ➔ Mathematics
PART 1:
The process is the Pythagorean Theorem:
a² + b² = c²
Here a and b are the lengths of the legs of the right triangle. and c is the length of the hypotenuse.
PART 2:
1² + 1² = c²
1 + 1 = c²
2 = c²
√2 = c
The hyptenuse has an exact length of √2
(The approximate value is 1.414213562373095...)
PART 3:
Because it has two legs the same length and one that is different, it is an isosceles triangle. It also happens to be a right triangle so you could say it is an isosceles right triangle.
2007-12-21 08:00:08 · answer #1 · answered by Puzzling 7 · 2⤊ 0⤋
You are dealing with an isosceles right triangle. The Pythagorean Theorem allows one to calculate the length of a side of a right triangle given the length of the remaining two sides. The theorem states, In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). In you case with both legs of length of 1 unit, the hypotenuse is of length 1.414 units.
2007-12-21 08:06:48 · answer #2 · answered by The Chemical Engineer 1 · 0⤊ 0⤋
The process is the pathagorean theorom:
a^2 + b^2 = c^2,
where c is the length of the hypotonuse and a and b are the lengths of the other two sides.
c = sqrt(1^2 + 1^2) = 1.414
The triangle is two kinds of triangles, it is a right triangle because one of the angles is a 90 degree angle, and it is an iscosoles triangle because two of the sides and two of the angles are equal.
2007-12-21 08:03:35 · answer #3 · answered by Joseph J 2 · 0⤊ 0⤋
Process: Pythagorean Theorem
a^2 + b^2 = c^2
1^2 + 1^2 = c^2
1 + 1 = c^2
2 = c^2
squareroot(2) = c
This is a right isosceles triangle
2007-12-21 08:01:16 · answer #4 · answered by janella 1 · 1⤊ 0⤋
Sides are in ratio 1:1:â2
â2 is hypotenuse , opposite the right angle , and is the longest side.
Also by Pythagoras:-
h² = 1² + 1²
h² = 2
h = â2
2007-12-21 09:58:05 · answer #5 · answered by Como 7 · 1⤊ 0⤋
the pythagorean theorem is used to calculate the hypoteneuse of a right triangle. c^2 = a^2 + b^2, where c is the hypoteneuse (longest side) of the triangle.
in this casde, a=b=1. c^2 = 2. c=sqrt(2).
this is an iscoceles right triangle.
2007-12-21 07:58:00 · answer #6 · answered by holdm 7 · 1⤊ 0⤋
Pythagorean.
No exact value of â2 can be given. have it as 1.41421356237...
an isosceles right angled.
2007-12-21 08:31:30 · answer #7 · answered by sv 7 · 0⤊ 0⤋
isosceles triangle
2007-12-21 08:12:17 · answer #8 · answered by Nini 2 · 0⤊ 0⤋
ythagorean theorem
1^2+1*2=2 so hyp.=sqrt(2) =1.4142135...
isosoles (sp?) right
2007-12-21 08:10:05 · answer #9 · answered by rwbblb46 4 · 0⤊ 0⤋