Math, asked by todankardarshana80, 1 month ago

If the length of the diagonal in a right angle triangle is 15 cm. then find the length of the center drawn on the diagonal.​please ans me.

Answers

Answered by venkatarayanam55
8
The answer is 7.5 cm
Answered by mad210215
3

Given:

length of the diagonal in a right angle triangle = 15 cm

To find:

length of the center drawn on the diagonal

Step-by-step explanation:

  • ABCD is a rectangle. ΔABC is the cut part of ABCD.
  • Suppose ΔABC is a right-angle triangle in which ∠B is a right-angle.

        ∠B = 90°

  • AC is diagonal in a right angle triangle of length 15 cm.

         AC = 15 cm

  • We have to find the length of the center drawn on the diagonal.
  • For this first, we have to find the length of a median from ∠B which touches the center of the diagonal.

        length of median = 0.5 × length of diagonal

                                      = 0.5 × 15

                                      = 7.5 cm

  • Hence, the length of the median is 7.5 cm.
  • The median passes through the center drawn on the diagonal.
  • The required answer is 7.5 cm.

Refer to the following attachment:

Attachments:
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