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The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is according to the herons formula:-?
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The area of an isosceles triangle having base 2 cm and the length of o...
Calculating the Area of an Isosceles Triangle using Heron's Formula:
1. Identify the Given Values:
- Base of the triangle (b) = 2 cm
- Length of one of the equal sides (a) = 4 cm
2. Calculate the Semi-Perimeter:
- Semi-perimeter (s) = (a + b + b) / 2
= (4 + 2 + 2) / 2
= 4 cm
3. Apply Heron's Formula:
- Area of the triangle = √[s(s - a)(s - b)(s - b)]
= √[4(4 - 4)(4 - 2)(4 - 2)]
= √[4 * 0 * 2 * 2]
= √[0]
= 0
4. Interpretation of the Result:
- The area of the isosceles triangle with the given dimensions is 0 square cm.
- This result indicates that the given values for the sides of the triangle do not form a valid triangle.
By following the steps outlined above and applying Heron's formula, we can determine the area of an isosceles triangle when the base and one of the equal sides are given.
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The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is according to the herons formula:-?
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