IB Mathematics Applications & Interpretation Question Type 4: Using Cosine Rule to Find the 3rd Side Exercises

Triangle EFG has $EF=6\mathrm{m}$, $EG=8\mathrm{m}$, and $\angle FEG=65^{\circ }$. Find $FG$ to two decimal places.

In triangle XYZ, $XY=6$, $XZ=8$, and angle $YXZ=65^{\circ }$. Calculate the length of $YZ$ to one decimal place.

In triangle $UVW$, $UV=8$, $VW=6$, and $\angle UVW=65^{\circ }$. Calculate $UW$ to two decimal places.

In triangle PQR, $PQ=8$, $PR=6$, and $\angle QPR=65^{\circ }$. Find the length of $QR$ to two decimal places.

Triangle QRS has $QR=6\mathrm{cm}$, $RS=8\mathrm{cm}$, and $\angle QRS=65^{\circ }$. Determine $QS$ correct to three significant figures.

In triangle BCD, $BC=8$, $CD=6$, and $\angle BCD=65^{\circ }$. Compute $BD$ to one decimal place.

In triangle DEF, $DE=6$, $DF=8$, and $\angle EDF=65^{\circ }$. Determine $EF$ correct to two decimal places.

Find $NO$ to three significant figures.

In triangle ABC, $AB=6$, $AC=8$, and $\angle BAC=65^{\circ }$. Calculate the length of $BC$ to one decimal place.

Triangle CAT has $CA=6$, $CT=8$, and $\angle ACT=65^{\circ }$. Find $AT$ to the nearest tenth.

In triangle JKL, $JK=8$, $JL=6$, and $\angle KJL=65^{\circ }$. Calculate $KL$ to two decimal places.

In triangle RSP, $RS=6$, $RP=8$, and $\angle SRP=65^{\circ }$. Determine $SP$ to one decimal place.