Right-angled Triangles
Gbogbo ọrọ náà
Trigonometry connects the angles of a right-angled triangle to the lengths of its sides, and that link is one of the most powerful tools in mathematics. With it you can find a height you cannot climb, a distance you cannot pace out, or an angle you cannot reach a protractor to.
In this lesson you will use the sine, cosine and tangent ratios to find sides and angles in right-angled triangles, and solve two-dimensional problems with these ratios and Pythagoras' theorem. (At Extended you will also handle angles of elevation and depression.)
Ebumnobi
- Know and use the sine, cosine and tangent ratios for acute angles in calculations involving sides and angles of a right-angled triangle.
- Solve problems in two dimensions using Pythagoras’ theorem and trigonometry.
- Know that the perpendicular distance from a point to a line is the shortest distance to the line. (Extended only)
- Carry out calculations involving angles of elevation and depression. (Extended only)
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 Right-angled Triangles. 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.
- Which ratio is sin θ? A. opp/adj B. adj/hyp C. opp/hyp D. hyp/opp Answer: C
- A right-angled triangle has hypotenuse 10 cm and an angle of 30°. The opposite side is: A. 5 cm B. 8.66 cm C. 10 cm D. 20 cm Answer: A
- If tan θ = 3/4, then θ is: A. 30.0° B. 36.9° C. 45.0° D. 53.1° Answer: B
- Which side is the hypotenuse? A. opposite the angle θ B. opposite the right angle C. next to θ D. the shortest side Answer: B
- To find an unknown angle from two known sides you use: A. the ratio directly B. Pythagoras C. the inverse trig function D. the area formula Answer: C
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 Right-angled Triangles? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
Dawunlodi Ẹpp naa lori Google Playstore.
Ihe nile ichoro iji nwee ihe ịga nke ọma na JAMB, WAEC & NECO.
