Question

काटकोन त्रिकोणात कर्णाची लांबी 15 सेमी असेल तर कर्णावर काढलेल्या मध्यगेची लांबी काढ​

Answer 1

Given:

काटकोन त्रिकोणात कर्णाची लांबी 15 सेमी असेल तर कर्णावर काढलेल्या मध्यगेची लांबी काढ​|

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.

To find:

The length of the center drawn on the diagonal.

Solution:

Let's say Δ ABC is the right-angled triangle, so

The length of the diagonal = Hypotenuse = AC = 15 cm

The length of the line that passes through the centre drawn on the diagonal = median of the Δ ABC = BM

We know that,

$\boxed{\bold{Median = \frac{1}{2} \times Length\: of\: Hypotenuse}}$

Now, on substituting the given value of hypotenuse in the formula above, we get

The length of the median of Δ ABC is,

= BM

= $\frac{1}{2} \times AC$

= $\frac{1}{2} \times 15$

= $\bold{7.5\:cm}$

Thus, the length of the center drawn on the diagonal is → 7.5 cm.

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Also View:

the length of a median on the hypotenuse of a right-angled triangle is 7 cm. find the length of the hypotenuse

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