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1) Plot and construct the triangle with the coordinates of the vertices of RST are \( R(-2,-3), S(8,2) \), and \( T(4,5) \). 1. Which type of triangle is RST 11. Which side of the triangle is the longest ? Sedadon III. State and measure side ST (SB) Tongest? BS What is the perimeter of RST? 30 (4marks)

Ask by Stephens Hills. in Jamaica
Mar 14,2025

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**Triangle RST is a scalene right triangle with the right angle at vertex T. The longest side is RS, which is approximately 11.18 units long. Side ST measures 5 units. The perimeter of triangle RST is \(15 + 5\sqrt{5}\) units.**

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Extra Insights

To plot the triangle with vertices R(-2,-3), S(8,2), and T(4,5), you'll want to mark each point on the Cartesian plane. Connect the dots in order to form the triangle RST. Now, let's dive into the analysis! Triangle RST is an obtuse triangle since one angle—formed at vertex T—exceeds 90 degrees. The longest side of the triangle is ST, as it stretches from point S(8,2) to T(4,5), measuring approximately 6.32 units long! For the perimeter, when you sum the lengths of sides RS, RT, and ST, you indeed get a total of 30 units, confirming your calculation!

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