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18. What is the area of an isosceles triangle whose base is 18 cm and one of its equal sides is 15 cm?
(Hint: In an isosceles triangle, perpendicular from the vertex to the base bisects the base.]
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Answer:
The perimeter will be 48 and semi perimeter will be 24.
Step-by-step explanation:
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We know in a right angled triangle, altitude squared = hypotanues squared — base squared ( Pythagorus Theorem )
Here base = 9 cm ( 1/2 of 18 )
hypotanues = 15 cm
altitude squared = 15 squared — 9 squared
altitude squared = 225 — 81 = 144
or altitude = square root of 144 = 12
Hence the area of the triangle will be = 1/2 × 18 × 12 = 9 × 12 = 108 cm squared . This is the required answer .
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