## in a ABC. AB -63 cm AC-12 cm.BC-Gam. Find measure of angle A (A) 30 (B) 60 (0 90 ( DS​

Question

in a ABC. AB -63 cm AC-12 cm.BC-Gam. Find measure of angle A
(A) 30 (B) 60 (0 90 (
DS​

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2 weeks 2021-09-14T06:37:32+00:00 2 Answers 0 views 0

angle a is 90 degree ok mark as brainlist

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.
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