Question

17. In right angled triangle ABC right angled at B, P is mid point of AC which one is true? (A) PA = (AB)/2 (B) PA = PB = PC (C) PB = (AC)/4 (D) none of these​

Answer 1

ask it to brainly teacher u got the answer in minute

Answer 2

In the adjoining figure, △ABC is right-angled at B and P is the mid-point of AC, show that, PA=PB=PC.

1058946

expand

Solution

GIVEN QP∣∣BC

consider triangles AQP,ABC

angle A= angle A

angle AQP= angle ABC

angle APQ=angle ACB

therefore triangles ABC and AQP are similar

but AP=PC

therefore AP:AC=1:2

therefore AQ:AB=1:2

therefore Q is mid point of AB

now consider triangles AQP,BQ

AQ=BQ

QP=QP

angle AQP=angle BQP

according to SAS axiom AQP congruent to BQP

therefore PA=PB

therefore PA=PB=PC

answer is option b