The altitude (h) of a triangle is measured to be 100 cm while the base (b) is 50 cm. If there is a possible error of 0.01 cm in the altitude and no error in the base, find:the percentage error in the computation of the perimeter of the triangle.
The altitude (h) of a triangle is measured to be 100 cm while the base (b) is 50 cm. If there is a possible error of 0.01 cm in the altitude and no error in the base, find:the percentage error in the computation of the perimeter of the triangle.
Let us consider the triangle is a right angled triangle.
Thus, the third side will be =
Thus, the measured perimeter = 50 + 100 + 111.803 =261.803 cm.
Now, the maximum length of the altitude can be 100.01 cm,
Thus, the maximum length of third side will be =
hence, the maximum perimeter will be = 50 + 100.01 + 111.812 =261.822 cm.
Now, the minimum length of the altitude can be 99.99 cm,
Thus, the minimum length of third side will be =
hence, the minimum perimeter will be = 50 + 99.99 + 111.794 =261.784 cm.
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