Question

In AABC, ZB = 90°. D is the midpoint of hypotenuse AC. If
BD=4.5 cm, then find the length of hypotenuse AC.
(A) 9 cm (B) 4.5 cm (C) 5 cm (D) 9.5 cm​

Answer 1

Answer:

the answer is 5.9cm because this us the correct answer inknow

Answer 2

Answer:

GIVEN: A right triangle ABC. D bisects AC. AD= DC & BD = 4.5cm

TO FIND: the length of AC.

CONSTRUCTION: Extend BD up to P, such that BD = DP = 4.5cm. Join AP & CP.

Since in quadrilateral ABCP, diagonals bisect each other. So, ABCP is a parallelogram.

But angle B = 90°

So, parallelogram ABCP should be a rectangle.

Therefore, diagonals AC = BP ( diagonals of a rectangle are equal)

But BP = 4.5+4.5 = 9cm

So, AC = 9cm.