Question

Do the following lengths form an acute, right, or obtuse triangle? * 97 65 72 O Acute, 9409 < 9409 O Right 9409 = 9409 O Obtuse, 9409 > 9409

Answer 1

To find if the triangle is acute (angles with a measure less than 90º), right (an angle of 90º) or obtuse (one angle with measure more than 90º) you find the sum of the two smaller sides squared:

If that sum is less than the largest side squared it is a acute triangle

If that sum is grather than the largest side squared it is a obtuse triangle

If that sum is equal to the largest side squared is a right triangle

The smaller sides in the given triangle are 65 and 72:

Sum of smaller sides squared:

`65^2+72^2=9409`

Largest side squared:

`97^2=9409`As 9409=9409, It is a right triangle