Hmmmmmmm hi.
I know, I know. The post of last year just have few tens of maths questions. Not even every week. We even missed some months. Well… let’s continue to reach the goal.
You said it is almost July? Well, let’s count it using Islamic Calendar. It is the first day of Year 1447 today, but it will end in June 2026, and if we are going to have a 2026 maths post there will be a lot of days overlapping. So, let’s end it with another calendar - Tamil Calendar - which New Year Day (Puthandu) will fall in April 2026.
You asked why not a more common used Chinese Lunar Calendar? Because too common :P
Though, New Year for it is earlier (in February).
Well, just, let’s start solving maths. Wish you get an A in whatever Maths subject and, do your best.
Not too good at math, but in VietNam if we do solve geometry questions, we will need info whether if there’s special condition for the angle or the pyramids, or even the sideline. I will give this a shot when there’s a bit more info
Given that ∠CAB = 60°, ABDE and ACFG are squares, BCH is a equilateral triangle, try to answer the following questions:
(a) Express BC² in terms of AB and AC;
(b) If the area of square ABDE, square ACFG, triangle BCH, and triangle AEG are α, β, γ, δ respectively, find the value of (γ+δ)/(α+β).
Hints here:
a. Use Cosine Rule
b. Area of a triangle = (1/2)ab(sinC)
Question in Malay
Diberi ∠CAB = 60°, ABDE dan ACFG ialah segi empat sama, BCH ialah sebuah segi tiga sama sisi, cuba menjawab soalan-soalan berikut:
(a) Ungkapan BC² dalam sebutan AB dan AC;
(b) Jika luas segi emapt sama ABDE, segi empat sama ACFG, segi tiga BCH, dan segi tiga AEG ialah α, β, γ, δ masing-masing, cari nilai (γ+δ)/(α+β).
