Find the area of a triangle whose perimeter is 22 cm, one side is 9 cm and the difference of other two sides is 3 cm.

Perimeter of triangle = 22 cm One side = 9 cm Difference between other two sides = 3 cm Let the unknown sides be a and b, where a > b. ⇒ a - b = 3 ...........(1) ⇒ a + b = 22 - 9 = 13 ...........(2) Adding equations (1) and (2), we get Substituting a = 8 in equation (2): 8 + b = 13 b = 13 - 8 = 5 So, the three sides of the triangle are 9 cm, 8 cm, and 5 cm. Area of triangle = where, s = s = = = 11 Area of the triangle: Hence, the area of triangle = 6 cm2.

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Mathematics

Find the area of a triangle whose perimeter is 22 cm, one side is 9 cm and the difference of other two sides is 3 cm.

Mensuration

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Find the ratio between the area of the shaded and the unshaded portions of the following figure :

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Mathematics

Find the area of a triangle whose perimeter is 22 cm, one side is 9 cm and the difference of other two sides is 3 cm.

Mensuration

Related Questions

Find the ratio between the area of the shaded and the unshaded portions of the following figure :

Calculate the area of a triangle whose sides are 13 cm, 5 cm and 12 cm. Hence, calculate the altitude corresponding to the longest side of this triangle. Leave your answer as a fraction.

The base of an isosceles triangle is 24 cm and its area is 60 cm2. Find its perimeter.

The area of a circular ring enclosed between two concentric circles is 286 cm2. Find the radii of the two circles, given that their difference is 7 cm.

The base of an isosceles triangle is 24 cm and its area is 60 cm². Find its perimeter.

The area of a circular ring enclosed between two concentric circles is 286 cm². Find the radii of the two circles, given that their difference is 7 cm.