Is the following formula to calculate the area of an isoscles triangle true or false- b-4-4a2 - b2 - where b is the base and a is the length of the equal sides-

The correct option is A TrueArea of an isoscles triangle can be calculated using the formula : b/4×√(4a^2 b^2) , where b is the base and a is the length of ...

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Byju's Answer

Standard IX

Mathematics

Area of an Isosceles Triangle

Is the follow...

Question

Is the following formula to calculate the area of an isoscles triangle true or false?
$\frac{b}{4} \times \sqrt{4 a^{2} - b^{2}}$ , where b is the base and a is the length of the equal sides.

True

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False

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Solution

The correct option is A True
Area of an isoscles triangle can be calculated using the formula :

$\frac{b}{4} \times \sqrt{4 a^{2} - b^{2}}$ , where b is the base and a is the length of the equal sides.

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Similar questions

Base of an isoscles triangle is 5/8 cm .Perimeter of the triangle is 3 5/12 cm. Find the Length of equal sides

Q. For an isosceles triangle having base b and each of the equal sides as a, we have:
I.

Area = \frac{b \cdot \sqrt{4 a^{2} - b^{2}}}{4}

II. Perimeter = (2a + b)
III.

Height = \frac{1}{2} \sqrt{4 a^{2} - b^{2}}

Which of the following is true?
(a) I only
(b) I and II only
(c) II and III only
(d) I, II and III

Q. State whether the statement is True or False:

(2 a + b)^{2}

is equal to

4 a^{2} + 4 a b + b^{2}

Q. Assertion: The area of an isosceles triangle having base = 8 cm and each of the equal sides = 5 cm is 12 cm².
Reason: The area of an isosceles triangle having each of the equal sides as a and base = b is

\frac{1}{4} b \sqrt{4 a^{2} - b^{2}}

.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

An isosceles triangle has sides 4a, b and b. Find the length of the perpendicular dropped onto the unequal side from the vertex opposite to this side.

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Is the following formula to calculate the area of an isoscles triangle true or false? b4×√4a2−b2 , where b is the base and a is the length of the equal sides.

The correct option is A TrueArea of an isoscles triangle can be calculated using the formula : b4×√4a2−b2 , where b is the base and a is the length of the equal sides.

Is the following formula to calculate the area of an isoscles triangle true or false?
$\frac{b}{4} \times \sqrt{4 a^{2} - b^{2}}$ , where b is the base and a is the length of the equal sides.

The correct option is A True
Area of an isoscles triangle can be calculated using the formula :

$\frac{b}{4} \times \sqrt{4 a^{2} - b^{2}}$ , where b is the base and a is the length of the equal sides.