Advertisements
Advertisements
प्रश्न
The perimeter of a triangle ABC is 37 cm and the ratio between the lengths of its altitudes be 6: 5: 4. Find the lengths of its sides.
Let the sides be x cm, y cm, and (37 - x - y) cm. Also, let the lengths of altitudes be 6a cm, 5a cm, and 4a cm.
Advertisements
उत्तर
Consider that the sides be x cm, y cm, and (37 - x - y) cm. also, consider that the lengths of altitudes be 6a cm, 5a cm, and 4a cm.
∴ Area of a triangle = `1/2` x base x altitude
∴ `1/2 xx x xx 6a = 1/2 xx y xx 5a = 1/2 xx ( 37 - x - y) xx 4a`
6x = 5y = 148 - 4x - 4y
6x = 5y and 6x = 148 - 4x - 4y
6x - 5y = 0 and 10x + 4y = 148
Solving both the equations, we have
X = 10 cm, y = 12 cm and ( 37 - x - y ) cm = 15cm.
APPEARS IN
संबंधित प्रश्न
Two parallelograms are on the same base and between the same parallels. The ratio of their areas is
ABCD is a trapezium in which AB || DC. If ar (ΔABD) = 24 cm2 and AB = 8 cm, then height of ΔABC is
ABCD is a trapezium with parallel sides AB =a and DC = b. If E and F are mid-points of non-parallel sides AD and BC respectively, then the ratio of areas of quadrilaterals ABFEand EFCD is
Find the area of a rectangle whose length = 3.6 m breadth = 90 cm
The side of a square field is 16 m. What will be increase in its area, if each of its sides is doubled?
Measure the length of the floor of your classroom in meters. Also, measure the width.
- What is the area of the floor of your classroom in square metres?
If each square on this page is equal to 1 square meter of land, how much land will each of her children get? ________ square m
Area of a rectangle with length 5 cm and breadth 3 cm is ______.
Whose footprint is larger - yours or your friend’s?
Find the area of the following figure by counting squares:
