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Q10: The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is:-?
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Q10: The area of an isosceles triangle having base 2 cm and the length...
Calculating the Area of an Isosceles Triangle
To find the area of an isosceles triangle, we first need to determine the height of the triangle. In this case, since we know the base and one of the equal sides of the triangle, we can use the Pythagorean theorem to find the height.

Finding the Height of the Triangle
- The base of the triangle is given as 2 cm.
- The length of one of the equal sides is given as 4 cm.
Using the Pythagorean theorem, we can calculate the height of the triangle:
height^2 = (4 cm)^2 - (1 cm)^2
height^2 = 16 cm^2 - 1 cm^2
height^2 = 15 cm^2
height = √15 cm

Calculating the Area of the Triangle
- Now that we have the height of the triangle, we can calculate the area using the formula: Area = 1/2 * base * height.
- Substituting the values we have:
Area = 1/2 * 2 cm * √15 cm
Area = √15 cm^2
Therefore, the area of the isosceles triangle with a base of 2 cm and one of the equal sides measuring 4 cm is √15 square centimeters.
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Q10: The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is:-?
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