Given: ar ⊥ rs , ts ⊥ rs at=26, rs=24 ar=12 find: ts ts =connect the letters to make a trapezoid. good luck. i need this as soon as possible.            tar            s

Solution -

Drawing a perpendicular from AQ to TS, we get a right angle triangle AQT

Using Pythagoras Theorem,

AT² = AQ² + QT²

⇒26² = 24² + QT²                    (∵ Due to symmetry AQ = RS)

⇒QT² = 676-576 = 100

⇒QT = 10

As TS = QT + QS = 12 + 10 = 22  ( ∵ Due to symmetry AR = QS )

∴ TS = 22 (ans)

x = 3 ± √(5+y)

are ya tryin to ask something or is this a statement