10. Error Analysis A student draws a triangle with a perimeter 36 cm. Thestudent says that the longest side measures 18 cm. How do you know that thestudent is incorrect? Explain.​

Accepted Solution

Answer:see the explanationStep-by-step explanation:we know thatThe Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third sideIn this problemIf the perimeter of triangle is equal to 36 cmThe longest side can't be equal to 18 cmThe student is incorrectBecause if the longest side is equal to 18 cm, and the perimeter is equal to 36 cm, then the sum of the other two sides is equal to 18 cmandApplying the triangle inequality theoremLetc Β -----> the longest sidea and b the other two sideswe have thatif c=18 cma+b > ca+b > 18 cmthereforeIf the longest side is 18 cm, the sum of the other two sides must be greater than 18 cm and the perimeter will be greater than 36 cm