Question 1 :
If a line is drawn parallel to one side of a triangle to intersect the other two sides, then the two sides are divided in the same ratio.
Question 2 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b9d273b2305849799dc.png' />
In the above figure, if AB is parallel to DC and AC and PQ intersect each other at the point O, then OA . CQ = OC . AP
Question 4 :
A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall.
Question 5 :
Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops.
Question 6 :
Determine which of them are right triangles:
(i) 7 cm, 24 cm, 25 cm
(ii) 3 cm, 8 cm, 6 cm
(iii) 50 cm, 80 cm, 100 cm
(iv) 13 cm, 12 cm, 5 cm
Question 7 :
An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1.5 hours?
Question 8 :
It is given that $\Delta$ABC ~ $\Delta$DFE, $\angle$A =30°, $\angle$C = 50°, AB = 5 cm, AC = 8 cm and DF= 7.5 cm. Then, which of the following is true?
Question 9 :
A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, then find the distance by which the top of the ladder would slide upwards on the wall.
Question 10 :
D is a point on the side BC of a triangle ABC such that ∠ADC = ∠ BAC. Is $CA^2= CB.CD$ true ?