HERON’S FORMULA

A kite in the shape of a square with a diagonal 32 cm and an isosceles triangle of base 8 cm and sides 6 cm each is to be made of three different shades as shown in figure. How much paper of each shade has been used in it?

• 256 cm², 256 cm², 17.92 cm²

• 156 cm², 156 cm², 16 cm²

• 236 cm², 236 cm², 15.92 cm²

• 216 cm², 216 cm², 15.92 cm²

Which option is INCORRECT ?

Heron's Formula is used to find the area of triangle when

• Three sides are given

• Two sides & perimeter is given

• Height is given

• Two sides & semi perimeter is given

The length of equal sides of an ISOSCELES RIGHT TRIANGLE is √2 cm. Find the length of its hypotenuse

• 4 cm

• 8 cm

• 2 cm

• None of the above

The lengths of the three sides of a triangle are 30 cm, 24 cm and 18 cm respectively. The length of the altitude of the triangle corresponding to the smallest side is

• 24 cm

• 18 cm

• 30 cm

• 12 cm

The base of an isosceles triangle 8 cm long and each of its equal sides measures 6 cm. The area of the triangle is

• $16\sqrt{5}cm^2$

• $8\sqrt{5}\ cm^2$

• $16\sqrt{3}cm^2$

• $8\sqrt{3}cm^2$

. An umbrella is made by stitching 10 triangular pieces of cloth of two different colours (see Fig.12.16), each piece measuring 20 cm, 50 cm and 50 cm. How much cloth of each colour is required for the umbrella?

• 200v^_6

• 200

• 200+v^_6

In Fig., the ratio of AD to DC is 3 to 2. If the area of $\Delta ABC$ is $40\ cm^2$ , what is the area of $\Delta BDC?$    

•  $16\ cm^2$  

•  $24\ cm^2$  

•  $30\ cm^2$  

•  $36\ cm^2$  

Using Heron's Formula, find the Area.

• 53.4 in²

• 22.3 in²

• 25.3 in²

• 44.6

If the perimeter of an equilateral triangle is 60 cm, then what is its area?

• $100\sqrt{2}cm^2$

• $200\sqrt{2}cm^2$

• $100\sqrt{3}cm^2$

• $200\sqrt{3}cm^2$

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122 m, 22 m and 120 m (see figure). The advertisements yield an earning of ₹5000 per m² per year. A company hired one of its walls for 3 months. How much rent did it pay?

• Rs. 14,50,000

• Rs. 16,500

• Rs 14,500

• Rs. 16,50,000