Question

In △rst, what is the length of segment rt? right triangle rst with rs measuring 26 and angles r and t measure 45 degrees. 26radical 3 52 13 26radical 2

Answer 1

26√2

Explanation:

In right triangle RST with RS measuring 26 and angles R and T measuring 45 degrees, we can use the Pythagorean theorem to find the length of segment RT. Since angle R is 45 degrees, we know that angle S measures 90 - 45 = 45 degrees as well. Therefore, triangle RST is an isosceles right triangle. Using the Pythagorean theorem, we have RT^2 = RS^2 + ST^2 = 26^2 + 26^2 = 2(26^2) = 1352. Therefore, RT = √1352 = 26√2.

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