Q. 75.0( 1 Vote )

# (1) From the measures given in the figure alongside, find the area of Δ ABC.

(2) Using Pythagoras’ theorem find the length of side AC.

(3) Find the area of Δ ABC using Heron’s formula.

Answer :

(1) Given:

AB = 12 cm

BC = 5cm

Area of Δ ABC =

Area of Δ ABC = 30 sq cm

(2) According to pythagoras’ theorem:

AB^{2} + BC^{2} = AC^{2}

⇒ AC^{2} = 12^{2} + 5^{2}

⇒ AC = 13 cm

(3) Length of one side of the triangle (a) = 5 cm

Length of second side of the triangle(b) = 12 cm

Length of third side of the triangle (c) = 13 cm

Semi perimeter (s) =

According to Heron’s formula

Area of the triangle = √(s(s-a)(s-b)(s-c))

⇒ Area of the triangle = 30 sq cm

Rate this question :

If the side of an equilateral triangle is 12 cm, what is its area?

MHB - Mathematics (Old)The sides of a right angled triangle forming the right angle are 16 cm and 8 cm. What is its area?

MHB - Mathematics (Old)A certain triangular plot has a base of 20 m and a height of 30 m. What is its area?

MHB - Mathematics (Old)What will be the area of an equilateral triangle of side 30 cm?

MHB - Mathematics (Old)A certain triangle has an area of 125 sq cm. If its base is 25 cm, what is its height?

MHB - Mathematics (Old)What is the area of a triangle whose base is 18.2 cm and height, 7.5 cm?

MHB - Mathematics (Old)A triangle has an area of 11.6 sq cm. If its height is 2.9 cm, what is its base?

MHB - Mathematics (Old)In each of the figures below, find the area of the coloured portion.

(1)

(2)

(3)

(4)

MHB - Mathematics (Old)Use Heron’s formula to find the area of an equilateral triangle whose side is ‘p’.

MHB - Mathematics (Old)If the sides of a triangle are 25 cm, 39 cm, and 56 cm, what is the area of this triangle?

MHB - Mathematics (Old)