Pythagoras’ Theorem And Trigonometry
Gbogbo ọrọ náà
Pythagoras' theorem and trigonometry are not limited to flat triangles: they work in three dimensions too. The trick is to find the right right-angled triangle inside a solid, often by using a diagonal of a face as a stepping stone to the diagonal of the whole solid.
In this lesson (Extended tier) you will solve three-dimensional problems using Pythagoras' theorem and trigonometry, including finding the angle between a line and a plane.
Ebumnobi
- Carry out calculations and solve problems in three dimensions using Pythagoras’ theorem and trigonometry, including calculating the angle between a line and a plane.
Akọmọ Ojú-ẹkọ
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Ayẹwo Ẹkọ
Ekele diri gi maka imecha ihe karịrị na Pythagoras’ Theorem And Trigonometry. 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.
- A cuboid is 4 by 3 by 12. What is the diagonal of the 4 by 3 base? A. 5 B. 7 C. 12 D. 13 Answer: A
- Using a base diagonal of 5 and height 12, the space diagonal is: A. 12 B. 13 C. 17 D. 169 Answer: B
- To find a space diagonal of a cuboid you apply Pythagoras: A. once B. twice C. three times D. not at all Answer: B
- The angle between the space diagonal and the base (height 12, base diagonal 5) is: A. 22.6° B. 45.0° C. 67.4° D. 90.0° Answer: C
- The angle between a line and a plane is measured between the line and: A. the vertical B. its projection on the plane C. any edge D. the diagonal Answer: B
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Àwọn Ìwé Tó Dáa Láti Kà
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Pythagoras’ Theorem And Trigonometry? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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