Question

17. What is the area of the square that can be drawn on side c of each triangle? a) b) 13 mm C 5 mm 21 cm С 28 cm

Answer 1

In figure A:

21 ^2 + 28^2 = C ^2

928 = c^2

therefore side c = 30.36cm

since we need to find the area of a square inscribed in a triangle , we have a right triangle with sides 21cm, 28cm and 30.46cm :

3/4 c + c +4/3c = 30.5

37/12 c = 30.5

c = 30.5 *12 /37

c = 377/37 =9.89

Therefore :

Area of a square = 9.89^2= 97.8 cm^2