Question

Q5.
Which vertex of AABC is right angled triangle if AB=8cm, AC = 6cm, BC =10cm.​

Answer 1

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AB = 10 cm

BC = 8 cm

AC = 6 cm

Let the radii of three circle be r1, r2 & r3 (shown in fig.)

r1 + r2 = 10 = AB ….(1)

r2 + r3 = 6 = AC …..(2)

r3 + r1 = 8 = BC …..(3)

adding (1), (2) and (3), we get

2(r1 + r2 + r3) = 10 + 6 + 8 = 24

r1 + r2 + r3 = 12 …..(4)

Subtract (4) and (1) ⇒ r3 = 12 – 10 = 2 cm

Subtract (4) and (2) ⇒ r1 = 12 – 6 = 6 cm

Subtract (4) and (3) ⇒ r2 = 12 – 8 = 4 cm