Advertisements
Advertisements
प्रश्न
The legs of a right-angled triangle are in the ratio 4 : 3 and its area is 4056 cm2. Find the length of its legs.
Advertisements
उत्तर
Area of right-angled triangle = 4056 cm2
Legs of a right-angled triangled are in the ratio i.e. 4 : 3
Let one leg (Base) = 3x
Then second leg (altitude) = 4x
Area =`1/2xx"Base"xx"Altitude"`
= `1/2xx3"x"xx4"x"` = 6x2
∴ 6x2 = 4056
x2 = `4056/6` = 676
x = `sqrt676=sqrt(26xx26)`
∴ x = 26 cm
∴ One leg (base) = 3x = 3 × 26 = 78 cm
and second leg (altitude) 4x = 4 × 26 = 104 cm
APPEARS IN
संबंधित प्रश्न
In the figure given below, find the area of shaded region: (All measurements are in cm)
In the figure given below, find the area of shaded region: (All measurements are in cm)
One side of a parallelogram is 20 cm and its distance from the opposite side is 16 cm. Find the area of the parallelogram.
Find the area of the rhombus, if its diagonals are 30 cm and 24 cm.
The area of a rhombus is 84 cm2 and its perimeter is 56 cm. Find its height.
The area of a right-angled triangle is 160 cm2. If its one leg is 16 cm long, find the length of the other leg.
Find the area of an isosceles triangle whose base is 16 cm and the length of each of the equal sides is 10 cm.
Find the base of a triangle whose area is 360 cm2 and height is 24 cm.
The ratio between the radius of two circles is 5 : 7. Find the ratio between their:
(i) circumference
(ii) areas
The length and breadth of a rectangular paper are 35 cm and 22 cm. Find the area of the largest circle which can be cut out of this paper.
