In a $\triangle ABC$, angle $BAC = 90^\c

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In a $\triangle ABC$, angle $BAC = 90^\circ$. If $BC = 25 cm$, then what is the length of the median AD?

Options:

10 cm

24 cm

14.5 cm

12.5 cm

Correct Answer:

12.5 cm

Explanation:

Given, $\Delta $ABC is a right triangle and BC is the hypotenuse.

and BC = 25 cm

As we know,

Median of right triangle is = $\frac{Hypotenuse}{2}$

= $\frac{25}{2}$

Therefore, length of AD is 12.5 cm.