7/10/2023 0 Comments Right isosceles triangle picture∴ ∆ AQC and ∆ BQC have equal area’s P divides AQ in the ratio 2 : 1.Īrea of ∆ APC is twice the area of ∆ AQP. Prove that the areas of all three triangles in the picture on the right are equal to a third of the area of the whole triangle. In the picture below, the top vertex of a triangle is joined to the mid point of the opposite side and then the point dividing this line in the ratio 2 :1 is joined to the other two vertices: Line BE divide ∆ ADB into 2 triangles with equal areas. Line AD divides ∆ ABC into 2 triangles with equal areas. Prove that the areas of all four tri-angles obtained thus are equal to a fourth of the area of the whole triangle. In the picture below, the top vertex of a triangle is joined to the mid point of the bottom side of the tri-angle and then the mid point of this line is joined to the other two vertices. How many different (non-congruent) triangles can you draw with two sides 8 and 6 centimetres and area 12 square centimetres? What if the area is to be 24 square centimetres?įor the triangle of area of 12 sq.cm., the height from the 8 cm side should be 3cm. Draw ∆ ABC then draw a line parallel to AB through C this line touches the circumference at a point D then complete ∆ ABD. Draw another triangle of the same area with all three vertices on the circle.ĭraw a line with centre C and AB is the chord of the circle. Areas of ∆ABC and ∆ ACR are equal.ĭraw a circle and a triangle with one vertex at the centre of the circle and the other two on the circle. Areas of ∆ ABC and ∆ BCQ are equal.ĭraw a line parallel to AC through B from C make angle 30° both lines intersect at point R. Areas of ∆ABC and ∆ABP are equal.ĭraw a line parallel to BC through A from C make angle 60° both lines intersect at point Q. Draw a perpendicular from A and the point of intersection of perpen-dicular and parallel line is P. Draw triangles ABP, BCQ and CAR of the same area with measurements given below.ĭraw a line parallel to AB through C. The right traingle ∆ DAB, ∆ ABE, ∆ CAF have the same area as that of ∆ ABC.ĭraw the triangle shown below in your notebook. Similarly make right-angled triangle by drawing line parallel to AC through B, and a line from A perpendicular to the parallel line, both lines intersect at point F. Also draw a line perpendicular to the parallel line through A, which makes a point Don parallel line, join BD. Draw three different right triangles of the same area.ĭraw ∆ ABC having sides 3 cm, 4 cm, and 6 cm.ĭraw a line parallel to AB through C and a line from B perpendicular to the parallel line, both lines intersect at point E. Kerala State Syllabus 9th Standard Maths Solutions Chapter 1 Area Kerala Syllabus 9th Standard Maths Area Text Book Questions and Answersĭraw a triangle of sides 3,4 and 6 centimeters. You can Download Area Questions and Answers, Activity, Notes, Kerala Syllabus 9th Standard Maths Solutions Chapter 1 help you to revise complete Syllabus and score more marks in your examinations.
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