Knowee
Questions
Features
Study Tools

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

🧐 Not the exact question you are looking for?Go ask a question

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.

This problem has been solved

Similar Questions

An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle

Find the area of a triangle two side of the triangle are 18 cm, and 12 cm. and the perimeter is 40 cm.

he perimeters of two similar triangles are 26 cm and 39 cm. The ratio of their areas will be

The sides of a triangle are in the ratio 3:5:6. If its perimeter is 56 cm, use the Heroes formula to find its area

34. The sides of a triangle are in the ratio 5:12:13, and its perimeter is 150 m. Find the area of the triangle

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.