Draw a triangles with sides of 9 cm, 7 cm, and 5 cm. Find its perimeter
2 answers:
Answer:
12 + √74 cm
Step-by-step explanation:
The <em>perimeter </em>(literally meaning "around measure") is the length around an area, shape, or boundary. Here, we have a right triangle, and the legs of that right triangle measure 5 cm and 7 cm. Using the Pythagorean theorem, we can find the hypotenuse (we'll call it h):
Adding all the lengths together, we find a perimeter of
5 + 7 + √74 = 12 + √74 cm
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<u>Given</u>:
A triangle is placed in a semicircle with a radius of 6 cm.
We need to determine the area of the shaded region.
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
Substituting b = 6 and h = 6, we get;
Thus, the area of the triangle is 18 cm²
<u>Area of the semicircle:</u>
The area of the semicircle can be determined using the formula,
Substituting π = 3.14 and r = 6, we get;
Thus, the area of the semicircle is 56.52 cm²
<u>Area of the shaded region:</u>
The area of the shaded region can be determined by subtracting the area of the triangle from the area of the semicircle.
Thus, we have;
Area = Area of semicircle - Area of triangle
Substituting the values, we get;
Thus, the area of the shaded region is 38.52 cm²