ΔABC is right angles at A, AD and BC ⊥ .If AB = 8cm, BC = 17cm and AC = 15cm. Find the area of ABC
Answers
Answered by
1
Answer:
Using Pythagoras theorem in △ABC
(AB)
2
+(BC)
2
=(AC)
2
(15)
2
+(8)
2
=(AC)
2
⇒(AC)
2
=225+64=289
⇒AC=17cm
Now inradius r=
s
Δ
where Δ is the area of triangle and s is semi perimeter.
Δ=
2
1
×8×15=60
s=
2
8+15+17
=
2
40
=20
⇒r=
s
Δ
=
20
60
=3cm
Step-by-step explanation:
Similar questions