Vaishali Bhatia and Rupesh Pathak Solutions for Chapter: Triangles, Exercise 4: Exercise 8.2

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    $2.5 dm, 6 dm$

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

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?

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 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. 

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?

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