Question: In △STU, ∠STU=90°, ST=8 cm, and SU=15 cm. Find TU and determine the type of triangle △STU.
(A) TU=17 cm, Right triangle
(B) TU=18 cm, Obtuse triangle
(C) TU=15 cm, Right triangle
(D) TU=16 cm, Acute triangle
Solution:
Calculate TU using the Pythagorean theorem:
TU² = SU² – ST²
TU = √15² – 8² = √225 – 64 = √161 = 12.7 cm.
Determine the Type of Triangle: Since TU² = SU² – ST², △STU is a right triangle.
Then the correct answer is TU=17 cm, Right triangle.
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