Maths-
General
Easy
Question
Mark has two triangular shaped fields as shown below. Are two fields congruent? Explain why or why not.
Hint:
Find the sides corresponding in each triangle and thus check the congruence.
The correct answer is: ABC⩭ DEF by SSS congruence rul
Complete step by step solution:
From the figure,
In ABC and DEF, we have
AB = EF = 15 ft (given)
BC = DE = 16 ft (given)
AC = DF (given)
Hence ABC⩭ DEF by SSS congruence rule
Related Questions to study
Maths-
A Toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other end. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of the conical part is 12 cm
A Toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other end. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of the conical part is 12 cm
Maths-General
Maths-
A Sphere, cylinder and a cone are of the same radius and same height . Find the ratio of their curved surface areas and their volumes?
A Sphere, cylinder and a cone are of the same radius and same height . Find the ratio of their curved surface areas and their volumes?
Maths-General
Maths-
From a solid wooden cylinder of 25 cm height and 6 cm diameter , two conical cavities are hollowed out , The diameters of the cones are also of 6 cm and the height is 10.5 cm, Find the volume of the remaining solid ?
From a solid wooden cylinder of 25 cm height and 6 cm diameter , two conical cavities are hollowed out , The diameters of the cones are also of 6 cm and the height is 10.5 cm, Find the volume of the remaining solid ?
Maths-General
Maths-
From a solid circular cylinder of 5 cm radius and 12 cm height , a conical cavity of the same base radius and of the same height is hollowed out. Find the volume of the remaining solid ?
From a solid circular cylinder of 5 cm radius and 12 cm height , a conical cavity of the same base radius and of the same height is hollowed out. Find the volume of the remaining solid ?
Maths-General
Maths-
A hemispherical container of 4 cm radius is filled to the brim with milk . The milk is then poured in a vertical right circular cone of 8 cm radius and 16 cm height. What percentage of the vertical right circular cone remains empty ?
A hemispherical container of 4 cm radius is filled to the brim with milk . The milk is then poured in a vertical right circular cone of 8 cm radius and 16 cm height. What percentage of the vertical right circular cone remains empty ?
Maths-General
Maths-
An ice cream cone is in the union of a right circular cone and hemisphere that has the same base as the cone . Find the Volume of the ice cream if the height of the cone is 9 cm and radius of its base is 2.5 cm.
An ice cream cone is in the union of a right circular cone and hemisphere that has the same base as the cone . Find the Volume of the ice cream if the height of the cone is 9 cm and radius of its base is 2.5 cm.
Maths-General
Maths-
A Hemispherical bowl of 36 cm internal diameter contains a liquid. This liquid is to be filled into right circular cone shaped bottles of 3 cm radius and 18 cm height , How many bottles are required to empty the bowl ?
A Hemispherical bowl of 36 cm internal diameter contains a liquid. This liquid is to be filled into right circular cone shaped bottles of 3 cm radius and 18 cm height , How many bottles are required to empty the bowl ?
Maths-General
Maths-
A hemisphere of 5 cm radius surmounted by a right circular cone of 5 cm base radius. Find the volume of the solid correct to two places of decimals if the height of the cone is 7 cm.
A hemisphere of 5 cm radius surmounted by a right circular cone of 5 cm base radius. Find the volume of the solid correct to two places of decimals if the height of the cone is 7 cm.
Maths-General
Maths-
An inverted conical vessel of 6 cm radius and 8 cm height is completely filled with water. A Sphere is lowered into the water and its size is such that when it touches the sides , it is just immersed. What fraction of water overflows ?
An inverted conical vessel of 6 cm radius and 8 cm height is completely filled with water. A Sphere is lowered into the water and its size is such that when it touches the sides , it is just immersed. What fraction of water overflows ?
Maths-General
Maths-
A rectangle field is 34 m long and 15 m broad. Find the cost of
(a) ploughing the field at Rs 6 per square metre.
(b) fencing it at R s 9.50 per metre.
A rectangle field is 34 m long and 15 m broad. Find the cost of
(a) ploughing the field at Rs 6 per square metre.
(b) fencing it at R s 9.50 per metre.
Maths-General
Maths-
What is the least number of solid metallic spheres of 6 cm diameter that should be melted and recast to form a solid metal right circular cone whose height is 135 cm and diameter is 4 cm?
What is the least number of solid metallic spheres of 6 cm diameter that should be melted and recast to form a solid metal right circular cone whose height is 135 cm and diameter is 4 cm?
Maths-General
Maths-
A Hollow sphere of internal and external diameters of 6 cm and 10 cm respectively is melted into a cone of 8 cm base diameter . Find the height of the cone ?
A Hollow sphere of internal and external diameters of 6 cm and 10 cm respectively is melted into a cone of 8 cm base diameter . Find the height of the cone ?
Maths-General
Maths-
Find the area of a rectangle whose length is 10 m and breadth is 6 m.
Find the area of a rectangle whose length is 10 m and breadth is 6 m.
Maths-General
Maths-
The perimeter of a rectangular plot is 180 m and its area is 1800 sq.metre. Take the length of the plot as x m. Use the perimeter to write the value of the breadth in terms of x. Use the value of length , breadth and the area to write an equation in x. Solve the equation to calculate the length and breadth of the plot.
The perimeter of a rectangular plot is 180 m and its area is 1800 sq.metre. Take the length of the plot as x m. Use the perimeter to write the value of the breadth in terms of x. Use the value of length , breadth and the area to write an equation in x. Solve the equation to calculate the length and breadth of the plot.
Maths-General
Maths-
Find the area and perimeter of a rectangle whose l = 70mand b = 50m.
Find the area and perimeter of a rectangle whose l = 70mand b = 50m.
Maths-General
