Advertisements
Advertisements
Question
The base and the height of a triangle are in the ratio 5 : 3. If the area of the triangle is 67.5 m2; find its base and height.
Advertisements
Solution
Let base = 5x m
height = 3x m
Area of Δ = `1/2 "base" xx "height"`
∴ `1/2 xx 5x xx 3x = 67.5`
`x^2 = (67.5 xx 2)/15`
`x^2 = 4.5 xx 2`
`x^2 = 9.0`
`x = sqrt(9)`
x = 3
base = 5x = 5 x 3 = 15 m
height = 3x = 3 x 3 = 9 m
APPEARS IN
RELATED QUESTIONS
AD is altitude of an isosceles triangle ABC in which AB = AC = 30 cm and BC = 36 cm. A point O is marked on AD in such a way that ∠BOC = 90o. Find the area of quadrilateral ABOC.
If the difference between the sides of a right-angled triangle is 3 cm and its area is 54 cm2; find its perimeter.
In triangle ABC; angle A = 90o, side AB = x cm, AC = (x + 5) cm and area = 150 cm2. Find the sides of the triangle.
The area of an equilateral triangle is `144sqrt3` cm2; find its perimeter.
A field is in the shape of a quadrilateral ABCD in which side AB = 18 m, side AD = 24 m, side BC = 40m, DC = 50 m and angle A = 90°. Find the area of the field.
The perimeter of a triangle is 72cm and its sides are in the ratio 3:4:5. Find its area and the length of the altitude corresponding to the longest side.
Find the perimeter and the area of a right angled triangle whose sides are 6 feet, 8 feet and 10 feet
In the following figure, all triangles are equilateral and AB = 8 units. Other triangles have been formed by taking the mid points of the sides. What is the perimeter of the figure?
Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is its third side?
In the following figures, perimeter of ΔABC = perimeter of ΔPQR. Find the area of ΔABC.
