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2 years ago

Given: AR ⊥ RS , TS ⊥ RS AT=26, RS=24 AR=12 Find: TS Answer: TS =

Mathematics

2 answers:

Olenka [21]2 years ago

6 0

Answer:

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)

kogti [31]2 years ago

4 0

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)

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2 years ago

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2 years ago

3 times a number is 54 less than the square of that number. Find the negative solution.

Pavel [41]

Answer:

x=-6

Step-by-step explanation:

Let x be the number

3x = x^2 -54

Subtract 3x

3x-3x = x^2 -3x-54

0 = x^2 -3x-54

Factor

What 2 numbers multiply to -54 and add to -3

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-9+6 = -3

0=(x-9) (x+6)

Using the zero product property

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x=-6

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