Question

Triangle ABC,angle B=90° BD is median, BD = 4.6 find AC ​

Answer 1

Answer:

as perpendicular drawn from vertex B. and ∠B=90°. triangle ABC is right angle triangle.

so we know that

BD²= CD*DA

⇒BD²= 7*3

⇒BD= √21

so length of BD is √21 cm.

Step-by-step explanation:

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Answer 2

$\huge \color{lime}ANSWER :$

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.