Calculate the area of triangle QRT, given QR = 830 m, QT = 370 m, and angle QTR = 51.2 degrees.

April 9, 2026Mathematics

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April 9, 2026

Answer

830 , \text{m}$

Here's a step-by-step solution to the problem.

First, we will use the values explicitly shown in the diagram, as there are inconsistencies between the text description and the diagram. From the diagram: $QR = 830 \, \text{m}$ $QT = 370 \, \text{m}$ $TS = 720 \, \text{m}$ $RS = 750 \, \text{m}$ $\angle QTR = 51.2^\circ$ $\angle TSR = 43.5^\circ$

a) Calculate the area of triangle QRT correct to 1 dp.

Step 1: Find $\angle QRT$ using the Sine Rule in $\triangle

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Here's a step-by-step solution to the problem. First, we will use the values explicitly shown in the diagram, as there are inconsistencies between the text description and the diagram.

Asked on April 9, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 9, 2026

Here's a step-by-step solution to the problem. First, we will use the values explicitly shown in the diagram, as there are inconsistencies between the text description and the diagram. From the diagram: QR = 830 \, m QT = 370 \, m TS = 720 \, m RS = 750 \, m QTR = 51.2^ TSR = 43.5^ a) Calculate the area of triangle QRT correct to 1 dp. Step 1: Find QRT using the Sine Rule in $