List of top Mathematics Questions on Right-Angled Triangles And Pythagoras Property asked in CBSE Class VII

The diagonals of a rhombus measure \(16\) \(cm\) and \(30\) \(cm\). Find its perimeter.

Find the perimeter of the rectangle whose length is \(40\) \(cm\) and a diagonal is \(41\) \(cm\).

Angles \(Q\) and \(R\) of a \(Δ\) \(PQR\) are \(25°\) and \(65°\). Write which of the following is true: 
  1.  \(PQ^2 + QR^2= RP^2\) 
  2.  \(PQ^2 + RP^2= QR^2\) 
  3.  \(RP^2 + QR^2= PQ^2\)

triangle PQR

A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.
A tree is broken at a height of 5 m from the ground
Which of the following can be the sides of a right triangle? 
  1.  2.5 cm, 6.5 cm, 6 cm 
  2.  2 cm, 2 cm, 5 cm 
  3.  1.5 cm, 2 cm, 2.5 cm 

In the case of right-angled triangles, identify the right angles.

A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.
15 m long ladder
ABC is a triangle right angled at C. If AB = 25 cm and AC = 7 cm, find BC.
PQR is a triangle right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.