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allsm [11]
3 years ago
8

What is the closest length of RT?

Mathematics
2 answers:
almond37 [142]3 years ago
6 0

Answer: 14

Step-by-step explanation:

Since it is a right angles triangle , Pythagoras theorem will come into play,which states that;

the square of  the hypotenuses = square of the adjacent + square of the opposite , that is

22^{2} = (RT)^{2} + 17^{2}

Therefore:

(RT)^{2} = 22^{2} - 17^{2}

(RT)^{2} = 484 - 289

(RT)^{2} = 195

RT = \sqrt{195}

RT = 13.96

RT≈ 14

Vilka [71]3 years ago
3 0

Answer:

c)14

Step-by-step explanation:

Pythagorean theorem:

TR² + RG² = TG²

TR² + 17² = 22²

TR² = 22² - 17² =(22+17)(22-17)            

  = 39*5 = 195 ≈ 196

TR =√196 = 14

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Let Mary's age be x.

Paul is three times as old as Mary, so Paul's age would be 3x.

Peter is four times as old as Mary, so Peter's age would be 4x.

The sum of their ages is 64
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Paul's age is: 3x= 3*8= 24

Peter's age is: 4x= 4*8= 32

Final answer: Paul is 24 years old.
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