Mathematics (9-1) - 0980 CIE

Pythagoras’ Theorem

Akopọ

Pythagoras' theorem is one of the most useful results in all of mathematics, and one of the most quietly powerful: it ties the three sides of any right-angled triangle together in a single, elegant rule. Once you know it, you can find a length you cannot reach a ruler to, check whether a corner is truly square, or work out the straight-line distance between two points, all without measuring directly.

In this lesson you will meet the theorem itself, learn to spot the all-important hypotenuse, and practise the two skills examiners ask for again and again: finding the longest side, and finding one of the shorter sides. You will see it solve real problems (ladders, screens, ramps and routes), find out where students most often slip up, and pick up the exam habits that turn a correct method into full marks.

Awọn Afojusun

  1. Know and use Pythagoras’ theorem.

Akọ̀wé Ẹ̀kọ́

Builders, designers, navigators and game developers all need to answer the same question: how long is a line I cannot measure directly? Whenever that line is the slanted side of a right angle, Pythagoras' theorem gives the answer exactly. It is a small rule with an enormous reach, and it underpins almost everything you will later study in trigonometry and coordinate geometry.

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Ìdánwò Ẹ̀kọ́

Oriire fun ipari ẹkọ lori Pythagoras’ Theorem. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.

Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.

Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.

  1. In a right-angled triangle, which side is the hypotenuse? A. The shortest side B. The side opposite the right angle C. Either of the two sides that meet at the right angle D. The side at the top of the triangle Answer: B
  2. A right-angled triangle has shorter sides of 9 cm and 12 cm. Find the length of the hypotenuse. A. 13 cm B. 15 cm C. 21 cm D. 225 cm Answer: B
  3. The hypotenuse of a right-angled triangle is 25 cm and one shorter side is 7 cm. Find the other shorter side. A. 18 cm B. 24 cm C. 32 cm D. 576 cm Answer: B
  4. Which set of side lengths forms a right-angled triangle? A. 2 cm, 3 cm, 4 cm B. 5 cm, 6 cm, 8 cm C. 8 cm, 15 cm, 17 cm D. 6 cm, 7 cm, 9 cm Answer: C
  5. Pythagoras' theorem can be applied to: A. Any triangle B. Only right-angled triangles C. Only equilateral triangles D. Only isosceles triangles Answer: B

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

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Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Pythagoras’ Theorem? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.

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