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1 of 8 0-day streak

Pythagoras in three dimensions

DIFFICULTYintrostandardchallengeexam
Question 1 of 8

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The solid is a cube

Projection. Cube with edge 15 cm. A and C are opposite vertices; AD is the base diagonal. The extracted triangle ADC is right-angled at D, with DC one cube edge. Find AC.15 cmxADCRight-angled section. Cube with edge 15 cm. A and C are opposite vertices; AD is the base diagonal. The extracted triangle ADC is right-angled at D, with DC one cube edge. Find AC.d15 cmxADC
Cube projection and the same triangle ADC shown flat. The base diagonal AD has length d; AC has length x. All cube edges are equal. Not to scale
1 mark

What is the space diagonal AC? Give your answer to 1 decimal place

Format: 1 d.p.