Whakaoti i te 40/1=x/sqrt{3/2}

$$\frac{ 40 }{ 1 } = \frac{ x }{ \frac{ \sqrt{ 3 } }{ 2 } }$$

Whakaoti mō x

$$x=20\sqrt{3}\approx 34.641016151$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$40=\frac{x}{\frac{\sqrt{3}}{2}}$$

Whakawehe x ki te \frac{\sqrt{3}}{2} mā te whakarea x ki te tau huripoki o \frac{\sqrt{3}}{2}.

$$40=\frac{x\times 2}{\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{x\times 2}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$40=\frac{x\times 2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$40=\frac{x\times 2\sqrt{3}}{3}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{x\times 2\sqrt{3}}{3}=40$$

Me whakarea ngā taha e rua ki te 3.

$$x\times 2\sqrt{3}=40\times 3$$

Whakareatia te 40 ki te 3, ka 120.

$$x\times 2\sqrt{3}=120$$

He hanga arowhānui tō te whārite.

$$2\sqrt{3}x=120$$

Whakawehea ngā taha e rua ki te 2\sqrt{3}.

$$\frac{2\sqrt{3}x}{2\sqrt{3}}=\frac{120}{2\sqrt{3}}$$

Mā te whakawehe ki te 2\sqrt{3} ka wetekia te whakareanga ki te 2\sqrt{3}.

$$x=\frac{120}{2\sqrt{3}}$$

Whakawehe 120 ki te 2\sqrt{3}.

$$x=20\sqrt{3}$$