Terry wants to make a triangular design on her driveway. she wants to paint an 8 ft. green line on one side, and a 17 ft. blue line on the second side, and an 8 ft. yellow line on the third side. write the convincing argument to show that terry's design is not possible using indirect reasoning.

The correct answer is: First solution

If we suppose that blue side ( 17 ft) is basement line we can't construct a triangle from the other two sides with a length of 8, their sum must be greater than 17

Step-by-step explanation:

Second solution:

If we suppose that sides of the triangle is a, b and c , there is a theorem that says:

that one side of the triangle must be greater than the difference of the other two and smaller than their sum.

a - b < c < a + b or  b - c < a < b + c  or a - c < b < a + c

In this case:  a = 8, b = 17 and c = 8

8 - 8 < 17 < 8 + 8   =>  0 < 17 < 16  This inequality is not true which means we can not construct triangle with given measurement.

God with you!!!

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step-by-step explanation: