Classify the triangle described below as acute, right or obtuse using the Converse of the Pythagorean Theorem.
Side lengths are 26, 10, 17.
2007-09-16 15:16:00 · 15 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
By the converse of Pythagorean Thm.
17²+10²=289+100<26²
Therefore it is not right and since 26² is bigger than the hypotenuse of a right triangle of sides 17,10, this must be obtuse.
2007-09-16 15:21:51 · answer #1 · answered by chasrmck 6 · 4⤊ 0⤋
Compare 10²+ 17² with 26²
If 10²+ 17² < 26² then the triangle is obtuse
If 10²+ 17² = 26² then the triangle is a right triangle
If 10²+ 17² > 26² then the triangle is acute
10² = 100
17² = 289
26² = 676
100 + 289 < 676
The triangle is obtuse
2007-09-16 15:20:25 · answer #2 · answered by gudspeling 7 · 1⤊ 1⤋
Hmm..
just remember:
the converse of pythagorean theorem states that
if
a^2 + b^2 = c^2 - right angle
a^2 + b^2 > c^2 - acute
a^2 + b^2 < c^2 - obtuse
10^2 + 17^2 = 26^2
100 + 289 = 676
389 <676 = obtuse triangle!
hope this helps!
2007-09-16 15:23:13 · answer #3 · answered by toffer 3 · 2⤊ 0⤋
the triangle is obtuse. because: if the square of the longest side is greater than the sum of the square of the other two sides, the triange is obtuse.
c^2 < a^2 + b^2 triangle is acute
c^2 > a^2 + b^2 triangle is obtuse
c^2 = a^2 + b^2 triangle is a right triangle.
c^2 is the the longest side of the triangle.
does this make sense?
2007-09-16 15:23:29 · answer #4 · answered by Anonymous · 1⤊ 0⤋
10^2 + 17^2 = 100 + 289 = 389
sqrt(389) = ~19.7
Since the longest leg is longer than 19.7, the angle is obtuse
2007-09-16 15:21:17 · answer #5 · answered by Steve A 7 · 1⤊ 0⤋
26^2 = 671
10^2 = 100
17^2 = 289
The longest side or hypotenuse squared,
is greater than the sum of the other sides squared.
So the triangle is obtuse.
2007-09-16 15:24:22 · answer #6 · answered by Robert S 7 · 1⤊ 0⤋
well, if it doesnt follow the the pythagorean theorem then it isnt right, which it doesnt, this also means that it cannot be acute, so it must be obtuse
2007-09-16 15:23:06 · answer #7 · answered by physics_philosopher 2 · 0⤊ 0⤋
Yea I sucked at geometry, but it is obtuse.
2007-09-16 15:24:07 · answer #8 · answered by Anonymous · 0⤊ 0⤋
The ears sound a bit over done except for the tragus,the belly button sounds cute,and the neck and hip seem rather strange and desperate for attention.But I guess to each their own.
2016-05-21 06:02:03 · answer #9 · answered by Anonymous · 0⤊ 0⤋
obtuse
2007-09-16 15:33:05 · answer #10 · answered by frederick_leong87 1 · 0⤊ 0⤋