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Luba_88 [7]
3 years ago
9

one side of a triangle is half the longest side The third side is 10 feet less than the longest side The perimeter is 70 find al

l three sides
Mathematics
1 answer:
Ahat [919]3 years ago
8 0

Let the longest side of the triangle be x, then the length of one of the other sides of the triangle is 0.5x and the length of the third side is x - 10.

Then, x + 0.5x + x - 10 = 70

2.5x = 80

x = 80 / 2.5 = 32

Therefore, the length of the sides of the triangle are: 32, 0.5(32) = 16 and 32 - 10 = 22.

i.e. 32, 16, 22

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The measure (in inches) of the sides of triangle RIO are equivalent to three consecutive odd integers. The perimeter is 201 inch
mariarad [96]
Let 
x-------------> first odd integer
x+2---------> second odd integer
x+4---------> third odd integer

we know that
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the three <span>sides of triangle RIO are 
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x+2-----> 65+2-----> 67 in
x+4----> 65+4------> 69 in

then
69²=4761----------> c²
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Is acute angle triangle

<span>statements 
1) </span><span>The triangle is obtuse--------> is false
</span>Is acute angle triangle
<span>
2) </span><span>The triangle is scalene-----> is correct
The three sides measures are diferent 

3)</span><span>The smallest side measures 61 inches--------> is false
</span><span>The smallest side measures 65 in
</span><span>
4)</span><span>The largest side measures 69 inches-------> is correct
</span><span>
5) </span><span>If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller
</span><span>If triangle RIO is dilated of 1/3, then news sides are
</span>65/3------> 21.67 in
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the new perimeter is=21.67+22.33+23------> 67 in
201-67=134 in
therefore
If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller----------> is false

Because the perimeter of the dilated triangle will be 134 units smaller

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