Question

If two triangles have the same base 10cm and same area the corresponding height of
one triangle is 9cm then what is the height of another triangle ?
1) 40 cm
2) 90 cm
3) 55 cm
4)9 cm​

Answer 1

Answer:

A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?

Ans. For an equilateral triangle with side ‘a’, area

∴ Each side of the triangle = a cm

∴ a + a + a = 180 cm

⇒ 3a = 180 cm

Now, s = Semi–perimeter

∴ Area of a triangle

∴ Area of the given triangle

Thus, the area of the given triangle