Acute, obtuse, or right?
2 answers:
Because there are no angle measures to indicate whether a triangle is obtuse, acute, or right, yo find out, you must use the Pythagorean Theorem or
a^2+b^2=c^2 where a and b are the lengths of the shorter legs and c is the measure of the hypotenuse (or the slant).
To do this, plug in the values and if a^2+b^2 is greater than c^2, the triangle is acute. If a^2+b^2 is less than c^2, the triangle is obtuse. If a^2+b^2 is equal to c^2, then your triangle is a right triangle.
When you plug in your values you should get this:
6^2+
^2=16^2
When you simplify, you should result in
36+133=256 which then simplifies to 169=256
Because 169 is less than 256 (the hypotenuse), you can conclude that this triangle is obtuse.
a^2+b^2=c^2 where a and b are the lengths of the shorter legs and c is the measure of the hypotenuse (or the slant).
To do this, plug in the values and if a^2+b^2 is greater than c^2, the triangle is acute. If a^2+b^2 is less than c^2, the triangle is obtuse. If a^2+b^2 is equal to c^2, then your triangle is a right triangle.
When you plug in your values you should get this:
6^2+
When you simplify, you should result in
36+133=256 which then simplifies to 169=256
Because 169 is less than 256 (the hypotenuse), you can conclude that this triangle is obtuse.
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