Ram has a field in the shape of a right angled triangle with perpendicular sides of lengths 200m and 100m . He wants to leave a space in the form of a square inside the field for growing wheat and the remaining for growing
vegetables.
(a) Choose the incorrect criterion of similarity
(i) AAA
(ii) SAS
(iii) SSS
(iv) ASA
(b) Identify the following statement. If a line drawn parallel to one side of a triangle to intersect the other two
sides in distinct points, then other two sides are divided in the same ratio.
(i) Thales theorem
(ii) Pythagoras theorem
(iii) Bisector theorem
(iv) None of these
(c) Find the length of the hypotenuse of right triangle ABC
(d) Calculate the total area of the field.
(e) Do you think the triangles in the figure are similar?
Answers
Answer:
Ram has a field in the shape of a right angled triangle with perpendicular sides of lengths 200m and 100m . He wants to leave a space in the form of a square inside the field for growing wheat and the remaining for growing
vegetables.
(a) Choose the incorrect criterion of similarity
(i) AAA
(ii) SAS
(iii) SSS
(iv) ASA
(b) Identify the following statement. If a line drawn parallel to one side of a triangle to intersect the other two
sides in distinct points, then other two sides are divided in the same ratio.
(i) Thales theorem
(ii) Pythagoras theorem
(iii) Bisector theorem
(iv) None of these
(c) Find the length of the hypotenuse of right triangle ABC
(d) Calculate the total area of the field.
(e) Do you think the triangles in the figure are similar?