The measures of two interior angles of a triangle are 67° and 102°. What is the measure of the third angle?
2 answers:
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Start with
Multiply the whole equation by 2. Since 2 is positive, we don't need to switch the inequality sign:
Subtract 3 from both sides:
We are given a right triangle and we are asked to determine the hypotenuse given the measure of its sides. To do that we will use the Pythagorean theorem:
Now, we solve the square:
Now, we add the values:
Now, we take the square root to both sides:
Solving the operations:
Therefore, the length of the hypotenuse is 22.361 kilometers.