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Assoli18 [71]
3 years ago
6

The sides of a triangle have lengths of x, x + 5, and 25. If the longest side is 25, which of the following values of x would ma

ke the triangle right? A. 10 B. 12 C. 15 D. 17
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0
In a right angle, the sum of the squares of the two shorter sides is equal to the square of the longest side.
Here, the longest side is 25, the shorter sides are x and x+5.

x^2+(x+5)^2=25^2 \\
x^2+x^2+10x+25=625 \\
2x^2+10x+25=625 \ \ \ |-625 \\
2x^2+10x-600=0 \ \ \ |\div 2 \\
x^2+5x-300=0 \\
x^2+20x-15x-300=0 \\
x(x+20)-15(x+20)=0 \\
(x-15)(x+20)=0 \\
x-15=0 \ \lor \ x+20=0 \\
x=15 \ \lor \ x=-20


The length of a side must be a positive number, so x=15.
The answer is C.
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2 years ago
Hi,so I've tried solving this problem for a while and I just don't get it,if you could give me some ideas I would appreciate it.
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187 cm²

Step-by-step explanation:

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4 0
3 years ago
What sum of money amounts Rs.3250 in 6 yrs at the rate of 5%?
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<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Find the multiplier:

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Use the formula:

final = original x multiplier^n

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Substitute in the values:

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final = 4355.310832

The answer is Rs. 4355.31

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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3 years ago
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