CAIE IGCSE Mathematics Core C6.2 Right An…iangles

Covered syllabus points

C6.2.1 Know and use the sine, cosine and tangent ratios for acute angles in C6.2.2 Solve problems in two dimensions using Pythagoras’ theorem and

[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]

Figure for Question 2 — CAIE IGCSE Mathematics Core

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: 3]

NOT TO SCALE

The diagram shows a right-angled triangle.
Calculate the value of h.

9.77 or 9.766...
M2 for $h=\frac{8}{\cos35^\circ}$ oe or $\frac{8}{\sin55^\circ}$ oe, or M1 for $\cos35^\circ=\frac{8}{h}$ oe or $\sin55^\circ=\frac{8}{h}$ oe

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CAIE IGCSE Mathematics Core C6.2 Right Angled Triangles Topic Practice

Covered syllabus points

Question 1

Question (a)

Question (b)

Question (c)

Question 2

Question 3