Exercises for Question Type 4: Using cosine rule to find the 3rd side - IB | RevisionDojo

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Question Type 4: Using cosine rule to find the 3rd side

Question Type 4: Using cosine rule to find the 3rd side Exercises

Question 1

Triangle GHI has $g=10$ , $h=14$ and angle $I=30^\circ$ . Find the length of side $i$ .

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Question 2

In triangle DEF, sides $d=5$ , $e=7$ and included angle $F=60^\circ$ .

Calculate side $f$ .

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Question 3

In triangle ABC, sides $a=6$ , $b=8$ and included angle $C=65^{\circ}$ . Find the length of side $c$ .

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Question 4

Triangle EFG has $e=25$ , $f=30$ and $G=150^\circ$ . Find $g$ .

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Question 5

In triangle HIJ, $h=100$ , $i=120$ and $J=5^\circ$ . Determine side $j$ .

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Question 6

Triangle $YZA$ has $y=13.5$ , $z=9.8$ and angle $A=110^\circ$ . Find side $a$ .

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Question 7

Triangle $MNO$ has sides $m=4.5$ , $n=7.2$ and angle $O=45^\circ$ . Find $o$ .

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Question 8

Triangle STU has equal sides $s = t = 8$ and angle $U = 36^\circ$ . Find side $u$ .

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Question 9

In triangle BCD, $b=50$ , $c=60$ and angle $D=25^\circ$ . Calculate $d$ .

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Question 10

In triangle $VWX$ , $v=11$ , $w=17$ and angle $X=92^\circ$ . Determine $x$ .

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Question 11

In triangle JKL, $j=9$ , $k=12$ and angle $L=120^\circ$ . Determine $l$ .

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Question 12

In triangle PQR, $p=15$ , $q=20$ and angle $R=75^{\circ}$ . Calculate $r$ .

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