All Common Core: High School - Geometry Resources
Example Questions
Example Question #11 : Use Trigonometric Ratios And Pythagorean Theorem To Solve Right Triangles: Ccss.Math.Content.Hsg Srt.C.8
Determine whether a triangle with side lengths ,
, and
is a right triangle.
Yes
No
No
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Example Question #11 : Use Trigonometric Ratios And Pythagorean Theorem To Solve Right Triangles: Ccss.Math.Content.Hsg Srt.C.8
Determine whether a triangle with side lengths 5, 12, and 13 is a right triangle.
No
Yes
Yes
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in 5 for , 12 for
, and 13 for
.
If both sides are equal, then the side lengths result in a right triangle.
52 + 122 = 132
25 + 144 = 169
169 = 169
Since both sides are equal, we can conclude that this is a right triangle.
All Common Core: High School - Geometry Resources
