Question

19. Write down the area of an isosceles triangles.​

Answer 1

Answer: it’s a pleasure to help you friend..

Step-by-step explanation:

An isosceles triangle is one which has at least two sides of equal length. This property is equivalent to two angles of the triangle being equal. An isosceles triangle has two equal sides and two equal angles. The name derives from the Greek iso (same) and Skelos (leg). An equilateral triangle is a special case of the isosceles triangle, where all the three sides and angles of the triangle are equal.

Isosceles Triangle :

An isosceles triangle has two equal side lengths and two equal angles, the corners at which these sides meet the third side is symmetrical in shape. If a perpendicular line is drawn from the point of intersection of two equal sides to the base of the unequal side, then two right-angle triangles are generated.

Area of Isosceles Triangle Formula :

The area of an isosceles triangle is given by the following formula:

Area = ½ × base × Height

Also,

The perimeter of the isosceles triangle : P = 2a + b

The altitude of the isosceles triangle : h = √(a2 − b2/4)

Formulas to Find Area of Isosceles Triangle include :

Using base and Height : A = ½ × b × h

Using all three sides : A = ½[√(a2 − b2 ⁄4) × b]

Using the length of 2 sides and an angle between them : A = ½ × b × c × sin(α)

Using two angles and length between them : A = [c2×sin(β)×sin(α)/ 2×sin(2π−α−β)]

Area formula for an isosceles right triangle : A = ½ × a2

Hope it’s useful friend..

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Answer 2

Answer:

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In an isosceles right triangle the length of two sides of the triangle are equal. Let us assume both sides measure “S” then the formula can be altered according to the isosceles right triangle. So the area of an Isosceles Right Triangle = S2/2 square units.