CAIE IGCSE Mathematics Core C6.2 Right An…iangles

Covered syllabus points

[Maximum number: 7]

(a)

NOT TO SCALE

ABC is a right-angled triangle.

Calculate BC.
$BC=\quad\mathrm{cm}$

[ 3 ]

8.4
M2 for $9.1^2-3.5^2$ oe or better
or M1 for $BC^2+3.5^2=9.1^2$ oe or better

(b)

$\triangle E F$ is a right-angled triangle.

Calculate EF.

E F=\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . . . c m ~[2]

[ 2 ]

6.88 to 6.881

2

M1 for $\cos 35=\frac{[\ldots]}{8.4}$ oe or better
or $\sin 55=\frac{[\ldots]}{8.4}$ oe or better

(c)

JKL is a right-angled triangle.

NOT TO SCALE

Calculate angle JKL.

[ 2 ]

$51.3[4 \ldots]$

2

M1 for $\tan [\ldots=] \frac{10}{8}$ oe or better

[Maximum number: 4]

The diagram shows two right-angled triangles, ABC and ACD.
Work out the value of x.

60 cao
M3 for $39^2+52^2-25^2=x^2$ oe
or M2 for $39^2+52^2=25^2+x^2$ oe
or M1 for a correct Pythagoras expression

[Maximum number: 2]

The diagram shows a right-angled triangle.
Show that angle y is $31.9^\circ$ , correct to 1 decimal place.

$\tan y=\frac{46}{74}$
31.86 to 31.87

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