Question

If D is the midpoint of the hypotenuse AC such that BD = 1/2 AC. Show that ∠ABC is a right angle. PLZZZ

Answer 1

Answer:

Step-by-step explanation:

Given that BD=1/2 AC

and D is mid point of AC

Thus BD=AD=CD

In the Δ ABD  AD=BD

So ∠A= ∠ABD = p

Similarly in the  Δ CBD  CD=BD

So ∠C= ∠CBD = q

Thus sum of all three angles of ΔABC

∠A+∠B+∠C=180

p+(p+q) +q=180

2*(p+q)=180°

So p+q=90°

Or ∠ABC=90°

hence proved