CAIE IGCSE Mathematics Extended E6.1 Pythag…eorem

Covered syllabus points

E6.1.1 Know and use Pythagoras’ theorem.

[Maximum number: 5]

The quadrilateral ACDE is formed by two right-angled triangles ABE and BCD. $A C=17 \mathrm{~cm}, A E=18 \mathrm{~cm}$ and $B D=6 \mathrm{~cm}$ .

Show that $C D=10 \mathrm{~cm}$ .

$\frac{AB}{18}=\cos60^\circ$ or $AB=18\cos60^\circ$ $\cos60^\circ=\frac{1}{2}$ and AB=9
Correct use of Pythagoras' theorem, i.e. $CD^2=6^2+(17-\text{their }AB)^2$ oe
Correct evaluation for their AB: $CD^2=36+64$ or $CD=\sqrt{36+64}$ 100=10

[Maximum number: 3]

Figure for Question 2 — CAIE IGCSE Mathematics Extended

The diagram shows a solid triangular prism ABCDEF of length 15 cm. $A B=6.4 \mathrm{~cm}, E B=5.7 \mathrm{~cm}$ and the volume of the prism is $145 \mathrm{~cm}^{3}$ .

Find the length of EA.

3.40 or 3.402 to 3.403 nfww
M2 for $6.4^2+5.7^2-2\times6.4\times5.7\times\cos32^\circ$ , or M1 for correct cosine-rule expression
A1 for 11.6 or 11.57 to 11.58

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CAIE IGCSE Mathematics Extended E6.1 Pythagoras Theorem Topic Practice

Covered syllabus points

Question 1

Question 2