Practice Problems on Pythagoras Theorem

What is the Pythagoras Theorem?

What is the value of x?

Which of the listed side lengths CAN be sides of a right triangle?

What will be the perimeter of a rectangle whose length is 150 m and the diagonal is 170 m?

If the square of the hypotenuse of an isosceles right triangle is 128 cm2, what will be the length of each side?

A ladder 13 m long is placed on the ground in such a way that it touches the top of a vertical wall 12 m high. What will be the distance of the foot of the ladder from the bottom of the wall?

The height of two towers is 150 m and 136 m respectively. If the distance between them is 48 m, what will be the distance between their tops?

The diagonal of the rhombus is 24 m and 10 m. What will be its perimeter?

A tree broke from a point but did not separate. Its top touched the ground at a distance of 24 m from its base. If the point where it broke is at the height of 7 m from the ground, what is the total height of the tree?

Does a 10, 24, 26 triangle have a Right angle?

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