Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
26th March, 2024

Calculating x.


Notice!

AD = 100 cm.


Therefore;

Area triangle ABD + Area triangle ACD = Area triangle ABC


0.5*2x*100sin60+0.5*x*100sin60 = 0.5*2x*xsin120

100x+50x = x²

x = 100+50

x = 150 cm.


It implies;

AB = 2*x

AB = 2*150

AB = 300 cm.


AC = x

AC = 150 cm.


Therefore, calculating BC.

Let it be y.


y² = 300²+150²-2*300*150cos120

y² = 157500

y = √(157500)

y = 150√(7) cm.

y = 396.8626966597 cm.

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