Two sides of a triangle have the measures 7 and 10. Is it true or false that the range of possible measures for the third side is 7TrueFalse

Answer:TrueStep-by-step explanation:We know that The triangle inequality states that the sum of the two sides of the triangle is always greater than the third side.Here given that two sides of the triangle are 7 and 10Let the third side be xHere a = 7 , b = 10 , c = xAccording to the triangle inequality a + b > c7 + 10 > xx < 17Also c + b > ax + 10 > 7x > -3Also a + c > b7 + x > 10x > 3Combining all the above results we get 3 < x < 17All the values of x in the above region forms a triangleGiven x values lies in the region so they form a triangle