The hypotenuse of a right angled triangle is 1 m less than twice the shortest side. If the third side is 1 m more than the shortest side, find the sides of the triangle.

Let the shortest side be x metre According to question, Third side = (x + 1)m Hypotenuse = (2x - 1)m For right angled triangle, (Hypotenuse) 2 = (Perpendicular) 2 + (Base) 2 Since, side's length cannot be equal to 0 , hence x ≠ 0. ∴ x = 3, (x + 1) = 4, (2x - 1) = 5 Hence, the sides of triangle are Shortest side = 3 m Hypotenuse = 5 m Third side = 4 m

The length of a rectangular garden is 12m more than its breadth. The numerical value of its area is equal to 4 times the numerical value of its perimeter. Find the dimensions of the garden.

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A farmer wishes to grow a 100 m² rectangular vegetable garden. Since he has with him only 30m barbed wire , he fences three sides of the rectangular garden letting compound wall of his house act as the fourth side fence. Find the dimensions of his garden.

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A wire, 112 cm long, is bent to form a right angled triangle. If the hypotenuse is 50 cm long, find the area of the triangle.

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Mathematics

The hypotenuse of a right angled triangle is 1 m less than twice the shortest side. If the third side is 1 m more than the shortest side, find the sides of the triangle.

Quadratic Equations

Related Questions

The length of a rectangular garden is 12m more than its breadth. The numerical value of its area is equal to 4 times the numerical value of its perimeter. Find the dimensions of the garden.

A farmer wishes to grow a 100 m² rectangular vegetable garden. Since he has with him only 30m barbed wire , he fences three sides of the rectangular garden letting compound wall of his house act as the fourth side fence. Find the dimensions of his garden.

A wire, 112 cm long, is bent to form a right angled triangle. If the hypotenuse is 50 cm long, find the area of the triangle.

The speed of a boat in still water is 11 km/h. It can go 12 km upstream and return downstream to original point in 2 hours 45 minutes. Find the speed of the stream.

Mathematics

The hypotenuse of a right angled triangle is 1 m less than twice the shortest side. If the third side is 1 m more than the shortest side, find the sides of the triangle.

Quadratic Equations

Related Questions

The length of a rectangular garden is 12m more than its breadth. The numerical value of its area is equal to 4 times the numerical value of its perimeter. Find the dimensions of the garden.

A farmer wishes to grow a 100 m2 rectangular vegetable garden. Since he has with him only 30m barbed wire , he fences three sides of the rectangular garden letting compound wall of his house act as the fourth side fence. Find the dimensions of his garden.

A wire, 112 cm long, is bent to form a right angled triangle. If the hypotenuse is 50 cm long, find the area of the triangle.

The speed of a boat in still water is 11 km/h. It can go 12 km upstream and return downstream to original point in 2 hours 45 minutes. Find the speed of the stream.

A farmer wishes to grow a 100 m² rectangular vegetable garden. Since he has with him only 30m barbed wire , he fences three sides of the rectangular garden letting compound wall of his house act as the fourth side fence. Find the dimensions of his garden.