If an isoseles triangle has a perimeter of 18 cm and base 8cm then it's area
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Answer:
Divide the triangle into two congruent right angled triangle with hypotenuse 15 cm and base =
2
18
=9cm
With pythagoras theorem : 15
2
=9
2
+h
2
h
2
=225−81=144
h=12
Area of one right angled triangle =
2
1
×b×h =
2
1
×9×12 = 54cm
2
Area of isosceles triangle = 2×54 =108cm
2
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