This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Calculate the area of the right-angled triangle. The formula for the area of a triangle is (1)/(2) × base × height. From the diagram, the base is 8 and the height is 7. The 30^ angle is not consistent with a right triangle having legs 7 and 8, so we will use the given leg lengths for the area calculation. Area = (1)/(2) × 8 × 7 Area = 4 × 7 Area = 28 square units Step 2: Calculate the value of the expression. The expression given is (sqrt(200))^2 + 20. When a square root is squared, the result is the number inside the square root. (sqrt(200))^2 = 200 Now, add 20 to this result: 200 + 20 = 220 The area of the triangle is 28 square units. The value of the expression is 220. That's 3 down. 2 left today — send the next one.