grade 8-2-geometry

© 2009 -2011 tutorco.com 1 Q1. ABC is right-angled at C. If AC = 5 cm and BC = 12 cm, find the length of AB. Q2. Determine whether the triangle whose lengths of sides are 3 cm, 4 cm and 5 cm is a right-angled triangle. Q3. Find the unknown length x in the following figure: Q4. PQR is a triangle right angled at P. If PQ = 10 cm and PR = 24 cm, find QR. A 12cm 5cm C B 6cm X 8cm 8/3/2/S GRADE 8 TOPIC: GEOMETRY © 2009 -2011 tutorco.com 2 Q5. Find the unknown length Y in the following figure. Q6. ABC is a triangle right angled at C. If AB = 50 cm and AC = 14 cm, find BC. Q7. Find the unknown length Z in the following figure. Q8. A triangle has sides, 2.5 cm, 6.5 cm, and 6 cm. Is this a right angled triangle? 15CM 8 CM Y 24 CM 7CM Z © 2009 -2011 tutorco.com 3 Q9. A right angle can have sides equal to 2 cm, 2 cm, and 5 cm. State true or False. Q10. A triangle has sides, 1.5 cm, 2cm, and 2.5 cm. Is this a right angled triangle? © 2009 -2011 tutorco.com 4 Q11. A ladder 5 m long has to reach a window 4m high. How far from the wall should the foot of the ladder rest? Q12. An electric pole 15m high is held by a wire which is fixed to the ground at a point 36m from the pole. Find the length of wire. Q13. A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall. Q14. Find the length of hypotenuse of a right triangle whose two sides are 5cm and 12 cm. © 2009 -2011 tutorco.com 5 Q15. A tree broke at a point, but did not separate. Its top touched the ground at a distance 6m from its base. If the point where it broke is at a height of 2.5 m from the ground. What was the total height of the tree? Q16. A flag pole is standing in the garden. It casts a shadow which is 0.7m long and distance from the top of the pole to the end of the shadow is 2.5 m. What is the height of the pole? Q17. P, Q and R are three stations. If Q is 21 km, from P to its east while R is 20 km from P to its North. Find the distance between Q and R. Q18. A man 1.2 m casts a shadow of 0.5 m. Find the distance from the top of his head to the end of the shadow. © 2009 -2011 tutorco.com 6 Q19. In ABC angle A = 90°, AB = 60cm, BC = 61 cm, find AC. Q20. The sides of a triangle are 15cm; 36 cm and 39 cm. Check if it is a right angled triangle. © 2009 -2011 tutorco.com 7 Q21. AB and CD are two advertisement posts opposite to each other at a distance of 36 m from each other. If AB = 30m and CD = 15m. Find AC. Q22. If the hypotenuse of a right-angled triangle is 25cm and one of the sides is 15cm, find the third side and hence the perimeter and area of the triangle. B E C A D C C © 2009 -2011 tutorco.com 8 Q23. A kite is flown from the top of a building 100m high with a string 41m long. If the kite is held at a distance of 9m from the vertical, find the height from the ground at which the kite is flying. Q24. The hypotenuse of an isosceles right triangle is 50cm. Find the length of each side? Q25. A man walks 20m due east and then 15m due south. Find the distance between the starting point and the terminating point. 100m 9m 41m © 2009 -2011 tutorco.com 9 Q26. The sides of a right triangle are 12 cm and 10 cm. Find the length of its hypotenuse. Q27. Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm. Q28. The diagonals of a rhombus measure 16 cm and 30 cm. find its perimeter. © 2009 -2011 tutorco.com 10 Q29. A pole 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 pole. Find the original height of the pole. Q30. A 2.5 m long ladder reached a window 2.4m high from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.