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

The base of an isosceles triangle = 24 cm Area of the triangle = 60 cm2. Let the height of the triangle be a. Area of triangle = x base x height ⇒ 60 = x 24 x a ⇒ 60 = 12 x a ⇒ a = ⇒ a = 5 Since, the triangle is isosceles, the height divides the base into two equal halves. Then applying Pythagoras theorem, Hypotenuse2 = Base2 + Height2 = + 52 = 122 + 52 = 144 + 25 = 169 ⇒ Other side = = 13 Perimeter of triangle = sum of all sides = 24 + 13 + 13 = 50 cm

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.

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Mathematics

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

Mensuration

Related Questions

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.

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.

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Mathematics

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

Mensuration

Related Questions

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.

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.

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.