Can someone kindly explain and answer this for me please!
2 answers:
<h3>Pythagoras Theorem:</h3>
The square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
<h3>Given:</h3>a = 7
b = 24
<h3>To Find:</h3>The measure of the hypotenuse c.
<h3>Solution:</h3>By using the Pythagoras Theorem, we get
<u>Option A. 25</u> is the correct answer.
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Hey there :)
We know that the area formula of a rectangle is:
Area = width x length
The given are :
Width = p
Length = 5 + p
Area = 104 ft²
Let us substitute and find p
104 = ( p ) ( 5 + p )
104 = 5p + p²
p² + 5p - 104 = 0
Factor it
Product = - 104 and Sum = 5
Factors = - 8 and 13
( p + 13 )( p - 8 ) = 0
p = -13 p = 8
↓
We reject the negative value since a side can never be negative
Therefore,
Width = p = 8 ft
Length = 5 + p = 5 + 8 = 13 ft
We know that the area formula of a rectangle is:
Area = width x length
The given are :
Width = p
Length = 5 + p
Area = 104 ft²
Let us substitute and find p
104 = ( p ) ( 5 + p )
104 = 5p + p²
p² + 5p - 104 = 0
Factor it
Product = - 104 and Sum = 5
Factors = - 8 and 13
( p + 13 )( p - 8 ) = 0
p = -13 p = 8
↓
We reject the negative value since a side can never be negative
Therefore,
Width = p = 8 ft
Length = 5 + p = 5 + 8 = 13 ft