# Triangle Problem Solving Simplify this equation step by step and solve it: x x 7 x 3 = 40, 3x 10 = 40, 3x = 40 - 10, 3x = 30, x = 10. Hence, the second side is 10 cm 7 cm = 17 cm long, and the third side is 17 cm - 4 cm = 13 cm long in accordance with the problem condition.

Simplify this equation step by step and solve it: x x 7 x 3 = 40, 3x 10 = 40, 3x = 40 - 10, 3x = 30, x = 10. Hence, the second side is 10 cm 7 cm = 17 cm long, and the third side is 17 cm - 4 cm = 13 cm long in accordance with the problem condition.

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A good first step, after reading the entire exercise, is to draw a right triangle and try to figure out how to label it.

Once you've got a helpful diagram, the math is usually pretty straightforward.

Therefore, in our case the perimeter of the triangle is equal to 8 cm 5 cm 9 cm = 22 cm. Solution The second side is 8 cm 4 cm = 12 cm long in accordance with the problem condition.

The third side is (8 cm 12 cm)/2 = 10 cm long in accordance with the problem condition.

Then the second side is of x - 6 cm long in accordance with the problem condition, and the third side is of (x (x-6))/2 cm long.

Since the perimeter of the triangle is equal to 30 cm, you can write the equation x (x - 6) (x (x-6))/2 = 30.

For navigation over the lessons on Properties of Triangles use this file/link Properties of Trianles.

To navigate over all topics/lessons of the Online Geometry Textbook use this file/link GEOMETRY - YOUR ONLINE TEXTBOOK.

Simplify this equation step by step and solve it: 2x 2(x - 6) (x (x-6)) = 60 (after multiplying both sides of the previous equation by 2), 2x 2x x x - 12 - 6 = 60, 6x - 18 = 60, 6x = 60 18, 6x = 78, x = 13. Hence, the second side is of 13 cm - 6 cm = 7 cm long, the third side is (13 7)/2 = 20/2 = 10 cm long in accordance with the problem condition.

You can check that the sum of the side measures is equal to the given value of the perimeter: 13 cm 7 cm 10 cm = 30 cm. The triangle side measures are 13 cm, 7 cm and 10 cm.

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