Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
A square lawn is surrounded by a path 2.5 m wide. If the area of the path is 165 m2 find the area of the lawn.
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)
The base of a parallelogram is thrice it height. If its area is 768 cm2, find the base and the height of the parallelogram.
If the area of a rhombus is 112 cm2 and one of its diagonals is 14 cm, find its other diagonal.
The adjacent sides of a parallelogram are 15 cm and 10 cm. If the distance between the longer sides is 6 cm, find the distance between the shorter sides.
The sides of a triangle are 21 cm, 17 cm, and 10 cm. Find its area.
The area of an equilateral triangle is (`64xxsqrt3`) cm2. Find the length of each side of the triangle.
The sides of a triangle are in the ratio 15 : 13 : 14 and its perimeter is 168 cm. Find the area of the triangle.
The diameter of a circle is 20 cm. Taking π = 3.14, find the circumference and its area.
