Refer to the sketch above. The area of the right triangle is 60 cm22. If its height is 12 cm long, its perimeter isA.38,7 cmB. 37,6 cmC.36,6 cmD.37 cm
Question
Refer to the sketch above. The area of the right triangle is 60 cm². If its height is 12 cm long, its perimeter is
A. 38.7 cm
B. 37.6 cm
C. 36.6 cm
D. 37 cm
Solution
The question seems to be incomplete as there is no sketch provided. However, based on the information given, we can find the base and hypotenuse of the right triangle, and then calculate the perimeter.
Step 1: Find the base of the triangle. The area of a triangle is given by the formula 1/2 * base * height. We know the area is 60 cm^2 and the height is 12 cm. So,
60 = 1/2 * base * 12 base = (60 * 2) / 12 = 10 cm
Step 2: Find the hypotenuse of the triangle. We can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. So,
hypotenuse = sqrt(base^2 + height^2) = sqrt(10^2 + 12^2) = sqrt(100 + 144) = sqrt(244) = 15.6 cm (approx)
Step 3: Find the perimeter of the triangle. The perimeter of a triangle is the sum of the lengths of all its sides. So,
perimeter = base + height + hypotenuse = 10 cm + 12 cm + 15.6 cm = 37.6 cm
So, the correct answer is B. 37,6 cm.
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