Pythagoras’ Theorem
Gbogbo ọrọ náà
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.
Ebumnobi
- Know and use Pythagoras’ theorem.
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Akwụkwọ Ọmụmụ
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Pythagoras’ Theorem. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- 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
- 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
- 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
- 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
- Pythagoras' theorem can be applied to: A. Any triangle B. Only right-angled triangles C. Only equilateral triangles D. Only isosceles triangles Answer: B
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Akụkụ akwụkwọ
Use Properties of Angles, Triangles, and the Pythagorean Theorem
Use the properties of angles
"Prealgebra: Use Properties of Angles, Triangles, and the Pythagorean Theorem" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/prealgebra/pages/9-3-use-properties-of-angles-triangles-and-the-pythagorean-theorem. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction
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Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Pythagoras’ Theorem? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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