Question

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.

Answer 1

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

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!!!