Advertisements
Advertisements
Question
The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is ______.
Options
`sqrt(15)` cm2
`sqrt(15/2)` cm2
`2sqrt(15)` cm2
`4sqrt(15)` cm2
Advertisements
Solution
The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is `underlinebb(sqrt(15) cm^2)`.
Explanation:
a = 2, b = 4, c = 4
`s = (a + b + c)/2`
⇒ `s = (2 + 4 + 4)/2 = 10/2 = 5`
Area (Δ) = `sqrt(s(s - a)(s - b)(s - c))`
⇒ Area (Δ) = `sqrt(5(5 - 2)(5 - 4)(5 - 4))`
⇒ Area (Δ) = `sqrt(5 xx 3 xx 1 xx 1`
⇒ Area (Δ) = `sqrt(15)` cm2
APPEARS IN
RELATED QUESTIONS
A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30 m and its longer diagonal is 48 m, how much area of grass field will each cow be getting?
A park, in the shape of a quadrilateral ABCD, has ∠C = 900, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m How much area does it occupy?
Find the area of an equilateral triangle having altitude h cm.
The sides of a triangle are 7 cm, 9 cm and 14 cm. Its area is
In the given figure, the ratio AD to DC is 3 to 2. If the area of Δ ABC is 40 cm2, what is the area of Δ BDC?
A square and an equilateral triangle have equal perimeters. If the diagonal of the square is \[12\sqrt{2}\] cm, then area of the triangle is
The area of an equilateral triangle with side `2sqrt(3)` cm is ______.
If the area of an equilateral triangle is `16sqrt(3)` cm2, then the perimeter of the triangle is ______.
The area of the equilateral triangle is `20sqrt(3)` cm2 whose each side is 8 cm.
The area of a regular hexagon of side ‘a’ is the sum of the areas of the five equilateral triangles with side a.
