Pythagoras Theorem

 In $△ABC,$ find the perimeter of the triangle.

The square of the hypotenuse of a right-angled isosceles triangle is $200 m$. Find the length of the sides.

Find the length of the diagonal of a rectangle whose length is $12 cm$ and breadth is $5 cm$.

A person travels $8 km$ due north by car and then $15 km$ due east by train. How far is he now from the starting point?

A tree broke by a windstorm. However, it did not break into two pieces but bent so that the top of the tree touched the ground $3 m$ away from the foot of the tree. The point where the tree broke was $4 m$ above the ground, find the total height of the tree before it broke. 

In the adjoining figure, $AC=50 cm, BD=120 cm$. $O$ is the midpoint of $AC$ and $BD$ and $AC\perp AD$. Find the length of $AB$ and $CD$. Are they equal?

A ladder $45 ft$ tall when set against a wall of a house, just reaches the window at a height of $27 ft$. How far is the lower end of the ladder from the base of the wall?

Find the length of the hypotenuse of a right triangle if the lengths of the base and perpendicular are    $7.5 cm, 18 cm$

Find the length of the hypotenuse of a right triangle if the lengths of the base and perpendicular are    $2.5 dm, 6 dm$

Find the length of the hypotenuse of a right triangle if the lengths of the base and perpendicular are    $1.5 m, 2 m$

Find the length of the hypotenuse of a right triangle if the lengths of the base and perpendicular are    $6 cm, 8cm$

Find the value of $x$ in the given triangle

Find the value of $x$ in the given triangle

Find the value of $x$ in the given triangle

Find the value of $x$ in the given triangle

Find the value of $x$ in the given triangle

Find the value of $x$ in the given triangle

Find the lengths $AB$ and $AC$ in the given $△ABC$.

Mohan walks $8 \mathrm{km}$ towards east and then $6 \mathrm{km}$ towards south. Find the distance between his starting point and ending point.

A ladder is $17 \mathrm{m}$ long, when set against a wall of a house, reaches the top of the house. If the foot of the ladder is $8 \mathrm{m}$ away from the house, find the height of the house.