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### Grade 7 - Mathematics9.25 The Area of Triangle

 Example: The base and height of a triangle are 6 cm and 7 cm respectively. Find its area. Solution: Given that, base = 6 cm and height = 7 cm. The area of a triangle = 1/2 * base * height = 1/2 * 6 * 7 = 3 * 7 = 21 sq.cm. Example: The height of a triangle 3 times its base. Find its base if its area is given by 24 sq.cm. Solution: Let 'x' be the base of the triangle. Given that area = 24 sq.cm and height = 3x cm. The area of a triangle = 1/2 * base * height. i.e 24 = 1/2 * x * 3x i.e 24 x 2 = 3x2 i.e x2 = 16 i.e x = 4 cm. Therefore base of the triangle = 4 cm. Directions: Read the above example carefully and answer the following questions. Also write at least 10 examples of your own. The height of a triangle is 2 times the base. If the area is given by 64 square metres, then find its base and height. Find the area of the triangle whose base and height is given by (169/2) cm and (225/15) cm.
 Q 1: The base and height of a triangle are (144/12) cm. and (121/11) cm respectively. Find its area.18 sq.cm12 sq.cm14 sq.cm66 sq.cm Q 2: The base and height of a triangle are x cm and 6 cm respectively. Find x if its area is given by 24 sq.cm.4 cm9 cm6 cm8 cm Q 3: The base and height of a triangle are x units and y units respectively. Find its area.x sq.unitsxy sq.unitsy sq.units(1/2) xy sq. units Q 4: The base of a triangle is given by 15 cm. Find its height if its area is given by 105 sq.cm.9 cm14 cm12 cm8 cm Q 5: The base and height of a triangle are 8 cm and b cm respectively. Find b if its area is given by 16 sq.cm.2 cm4 cm1 cm8 cm Q 6: The height of a triangle is given by 12 cm. Find its base if its area is given by 96 sq.cm.10 cm16 cm12 cm9 cm Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!