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Question

The area of a triangle whose sides are of lengths 12 cms, 5 cms, and 13 cms is :

30 cms

40 cms

50 cms

None of these

ANSWER : 1

Descrption

Given, sides of triangle 5 cm, 12 cm, 13 cm. Now, semi perimeter, s = = sum of the sides of triangle/2
 = (5 + 12 + 13)/2 cm = 15 cm Using heron's formula, Area of triangle = &radic;[s(s&minus;a)(s&minus;b)(s&minus;c)]
 = &radic;[15(15&minus;5)(15&minus;12)(15&minus;13)]
<span style = "font - size: 11.0pt; line - height: 107%; font - family: 'Calibri',sans - serif; mso - ascii - theme - font: minor - latin; mso - fareast - font - family: Calibri; mso - fareast - theme - font: minor - latin; mso - hansi - theme - font: minor - latin; mso - bidi - font - family: 'Times New Roman'; mso - bidi - theme - font: minor - bidi; mso - ansi - language: EN - US; mso - fareast - language: EN - US; mso - bidi - language: AR - SA;"> = <span style = "font - size: 11.0pt; line - height: 107%; font - family: 'Calibri',sans - serif; mso - ascii - theme - font: minor - latin; mso - fareast - font - family: Calibri; mso - fareast - theme - font: minor - latin; mso - hansi - theme - font: minor - latin; mso - bidi - theme - font: minor - latin; mso - ansi - language: EN - US; mso - fareast - language: EN - US; mso - bidi - language: AR - SA;">&radic;<span style = "font - size: 11.0pt; line - height: 107%; font - family: 'Calibri',sans - serif; mso - ascii - theme - font: minor - latin; mso - fareast - font - family: Calibri; mso - fareast - theme - font: minor - latin; mso - hansi - theme - font: minor - latin; mso - bidi - font - family: 'Times New Roman'; mso - bidi - theme - font: minor - bidi; mso - ansi - language: EN - US; mso - fareast - language: EN - US; mso - bidi - language: AR - SA;">[15&times;10&times;3&times;2]
<span style = "font - size: 11.0pt; line - height: 107%; font - family: 'Calibri',sans - serif; mso - ascii - theme - font: minor - latin; mso - fareast - font - family: Calibri; mso - fareast - theme - font: minor - latin; mso - hansi - theme - font: minor - latin; mso - bidi - font - family: 'Times New Roman'; mso - bidi - theme - font: minor - bidi; mso - ansi - language: EN - US; mso - fareast - language: EN - US; mso - bidi - language: AR - SA;"> = 30 cm2

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