To determine the range of values that side a could be to create a triangle, we can use the triangle inequality theorem which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, we are given that the base (side b) is equal to 6 and the hypotenuse (side c) is equal to 7. So, using the triangle inequality theorem, we can set up the inequality as:
a + 6 > 7
Simplifying the inequality, we get:
a > 1
Therefore, the complete inequality representing the whole-number values that side a could be to create a triangle is:
a > 1
Use the image to answer the question.
Complete the inequality so that it represents the whole-number values that side a could be to create a triangle.
An illustration of a triangle shows an equation along the base as b equals 6 and the hypotenuse as c equals 7. The third side on the triangle is labeled as a.
(1 point)
<a<
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