5. In AABC, AC = 10 cm, BC = 5 cm and AL = 6 cm. Find: (a) area of AABC (b) length of bm
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Answer:
Correct option is
A
13
In △ABC,
AB=AC=x and BC=10 cm
Draw a perpendicular from A on BC such that AD⊥BC
In an Isosceles triangle a perpendicular bisects the non- congruent side.
Hence, BD=
2
1
(10)=5 cm
In △ADB,
AB
2
=AD
2
+BD
2
x
2
=AD
2
+5
2
AD=
x
2
−25
Area of triangle =
2
1
AD×BC
60=
2
1
(
x
2
−25
)(10)
12=
x
2
−25
144=x
2
−25
x
2
=169
x=13 cm
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