Question

in a right triangle abc, c = 90°, ac = 3 cm and bc = 4 cm. then the length of the median through point c is
a) 2.5 cm
b) 3.0 cm
c) 3.5 cm
d) 4.0 cm​

Answer 1

Answer:

option c is the right answer

Answer 2

Answer:

The answer is (a) 2.5 cm.

Step-by-step explanation:

Given:

ABC Is a right angled triangle.

C = 90°.

AC = 3cm.

BC = 4cm.

To Find:

The length of median from point C.

Solution:

In a right triangle, the median through the right angle is half the length of the hypotenuse.

Therefore, in triangle ABC, the median through point C is half the length of AB.

Let's use the Pythagoras theorem to find the length of AB:

AB² = AC² + BC²

AB² = (3 cm)² + (4 cm)²

AB² = 9 cm² + 16 cm²

AB² = 25 cm²

AB = 5 cm

Therefore, the length of the median through point C is half of AB, which is:

$= \frac{1}{2} \times 5cm$

= 2.5 cm

Hence, the answer is (a) 2.5 cm.

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