Question

Students of class IX designed a triangular game board. Whose base is 8cm, angle at
one end of the base is 45°. The difference between other two sides is 1cm. construct
the shape of the board.​

Answer 1

Answer:

Deriving Area of Equilateral Triangle Using Basic Triangle Formula. Take an equilateral triangle of the side “a” units. Then draw a perpendicular bisector to the base of height “h”. Now, apply Pythagoras Theorem in the triangle.

Step-by-step explanation:

Deriving Area of Equilateral Triangle Using Basic Triangle Formula. Take an equilateral triangle of the side “a” units. Then draw a perpendicular bisector to the base of height “h”. Now, apply Pythagoras Theorem in the triangle.

Answer 2

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