25 First Holding Hands (Slow Update)

Chapter 3: First Holding Hands </3

Author's Note: Dun po sa mga formulas, ung mga c2 dun, ang basa pu duon ay C Squared. okay? basta. alam nyo na yan, hindi kasi ata pwede dito ung ganun, :D yung naka square root. :D salamat sa pagintindi! :DD

enjoy reading! :))

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Chapter 3: First Holding Hands

Gustuhin ko mang puntahan yung babaeng nakita ko sa may gate, hindi ko na magawa. Kasi magsisimula na ang klase ko. Kailangan ko ng pumasok sa room. Mas mahalaga naman ang pagaaral ko kaysa sa kung ano o sino pa yan.

“Okay class. For your recitation, 10 points. Explain a case for the Law of Cosine.” Lahat ay tahimik habang nagsasalita si Ms. Tamara, ang teacher namin sa Trigonometry.

“No one would like to have 10 points? How about 20 points for this.” Salita nya ulit..

Haist. Mukhang walang maglalakas loob na tumayo at magsalita, terror syang teacher kahit dalaga pa. Kaya kahit section 1 kami, parang ang matalino kung minsan natatameme.

Sige, ako na. Alam ko naman yung pinaparecite nya, kaso.. Haist bahala na nga, kaysa sumigaw na naman sya.

Tumayo ako sa pagkakaupo ko..

“Let me try Ms. Tamara.” Sabi ko at agad na lumapit sa kanya.

“Good. Get your chalk and explain it on the board.” Dahan-dahan ay pumunta sa likod si Ms. Tamara. Nakakakaba.

“So here it goes. Here is the law of cosine. c2 = a2 + b2 – 2ab cos C ..

But there are two other versions of the law of cosines, which are a2 = b2 + c2 – 2bc cos A

and b2 = a2 + c2 – 2ac cos B.”

Kinakabahan ako pero tuloy lang. Inaral ko ito.

“Since the three verions differ only in the labelling of the triangle, it is enough to verify one just one of them. We'll consider the version stated first. In order to see why these laws are valid, we'll have to look at three cases. For case 1, we'll take the angle C to be obtuse. In case 2, angle C will be a right angle. In case 3, angle C will be acute.”

Tahimik nag buong klase, sarili ko lang naririnig kong nagsasalita. Pero biglang sumingit si Ms. Tamara.

“Just explain the first Case. Let your classmates explain the other cases. Give them points for the recitation.” Sabi nya habang nakataas ang kilay.

Tuloy lang Kerwin. Para matapos na toh.

“For the case 1, we take angle C to be obtuse. This case has a wrinkle in it since the cosine of an obtuse angle is negative. Let's see how that goes.

First, drop a perpendicular line AD from A down to the base BC of the triangle. In this case, the foot D of this perpendicular will lie outside the triangle. Let h denote the height of the triangle, let d denote BD, and let e denote CD.

We can derive the following equations from the figure:

c2 = d2 + h2

b2 = e2 + h2

d = a + e

cos C = – e/b..”

Tuloy-tuloy lang ako sa pagsulat at pag darawing sa blackboard ng formula.. Tatapusin ko na ito, last na step na.