Question

The perimeter of a triangle is 45 cm. The longest side exceeds the shortest side by 8 cm. The sum of the longest and the shortest side is twice the length of the other side. Find the length of the sides of the triangle using matrix method.

Answer 1

Answer:

Perimeter of a triangle is 45 cms. The longest side exceeds the shortest by 8 cms. Also, sum of lengths of the longest and shortest sides is twice the length of the other side Use Cramer's rule to find the lengths of all sides of the triangle. Solve the following system of equations using matrix inverse method 2/x + 3/y + 10/z = 4 4/x + 6/y + 5/z = 1 6/x + 9/y + 20/z = 2 For what values of lambda, the following system of equations 3x - y + 4Z = 3 x + 2y - 3z = -2 6x + 5y - lambdaz = -3 will have infinitely many solutions unique solution no solution

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