PEARSON EDEXCEL LEVEL 1/LEVEL 2
GCSE (9-1) IN MATHEMATICS (1MA1) -
AUTUMN HALF TERM #1 - GEOMETRY
- (SOME OF) G20. PYTHAGORAS
THEORUM QUESTIONS AND
ANSWERS
Pythagorasytheorumy-ydefinition?y-yanswer--
TheyPythagoreanytheoremystatesythatyinyanyyrightytriangle,ytheysquareyofytheylengthyofyt
heyhypotenuseyequalsytheysumyofytheysquaresyofytheylengthsyofytheylegsyofytheyrightytri
angle.
Hypotenusey-ydefinition?y-yanswer--Longestysideyofyayright-
angledytriangle.yAlwaysyoppositeytheyright-angle.
Pythagorasy-yequationyforyanyyright-angledytriangleywithyhypotenusey(c)?y-yanswer--
a²+b²=c²
Howytoydoypythagoras?y-yanswer--Ifyyouyknowytwoysidesyofyayright-
angledytriangle,yyouycanyfindytheythirdylikeythis:
1.ysquareytheylengthsyyouyknow
2.yaddyifyyouyareyfindingytheyhypotenuse,ysubtractylengthyfromyhypotenuseyifyyouyareyfi
ndingyanotherylengthythem
3.yfindytheysquareyroot
4.yroundyifyneeded
Applyingypythagorasy(wordedypythagoras)
-
yAyladderyisy2mylong.yItyleansyagainstyaywallysoythatyitsyfeetyarey90cmyfromytheybaseyofyt
heywall.yHowyfaryupytheywallydoesytheyladderyreach?
yGiveyyouryanswerytoy1ydecimalyplace.
-
yJohn'sycaryrunsyoutyofypetrol.yHeywalksy9kmynorth,yandytheny12ykmyeastytoygetytoytheyp
etrolystation.yToygetybackytoyhisycar,yJohnywalksysouth-
westyasythisyisytheyquickestyway.yHowyfarydoesyJohnywalkyonyhisywayyback?
-
yAtytakeoff,yanyaeorplaneyfliesyatyayconstantyangleyuntilyityreachesyanyaltitudeyofy12,000
m.yIfytheyflightydistanceyreadsy89kmyatythisytime,yhowyfaryasytheyplaneytravelledyacrossyt
heyland.(Drawyaypictureytoyhelpyyou)
GCSE (9-1) IN MATHEMATICS (1MA1) -
AUTUMN HALF TERM #1 - GEOMETRY
- (SOME OF) G20. PYTHAGORAS
THEORUM QUESTIONS AND
ANSWERS
Pythagorasytheorumy-ydefinition?y-yanswer--
TheyPythagoreanytheoremystatesythatyinyanyyrightytriangle,ytheysquareyofytheylengthyofyt
heyhypotenuseyequalsytheysumyofytheysquaresyofytheylengthsyofytheylegsyofytheyrightytri
angle.
Hypotenusey-ydefinition?y-yanswer--Longestysideyofyayright-
angledytriangle.yAlwaysyoppositeytheyright-angle.
Pythagorasy-yequationyforyanyyright-angledytriangleywithyhypotenusey(c)?y-yanswer--
a²+b²=c²
Howytoydoypythagoras?y-yanswer--Ifyyouyknowytwoysidesyofyayright-
angledytriangle,yyouycanyfindytheythirdylikeythis:
1.ysquareytheylengthsyyouyknow
2.yaddyifyyouyareyfindingytheyhypotenuse,ysubtractylengthyfromyhypotenuseyifyyouyareyfi
ndingyanotherylengthythem
3.yfindytheysquareyroot
4.yroundyifyneeded
Applyingypythagorasy(wordedypythagoras)
-
yAyladderyisy2mylong.yItyleansyagainstyaywallysoythatyitsyfeetyarey90cmyfromytheybaseyofyt
heywall.yHowyfaryupytheywallydoesytheyladderyreach?
yGiveyyouryanswerytoy1ydecimalyplace.
-
yJohn'sycaryrunsyoutyofypetrol.yHeywalksy9kmynorth,yandytheny12ykmyeastytoygetytoytheyp
etrolystation.yToygetybackytoyhisycar,yJohnywalksysouth-
westyasythisyisytheyquickestyway.yHowyfarydoesyJohnywalkyonyhisywayyback?
-
yAtytakeoff,yanyaeorplaneyfliesyatyayconstantyangleyuntilyityreachesyanyaltitudeyofy12,000
m.yIfytheyflightydistanceyreadsy89kmyatythisytime,yhowyfaryasytheyplaneytravelledyacrossyt
heyland.(Drawyaypictureytoyhelpyyou)
