Answer:
<h2>By angle sum property:</h2>BAC+ABC+BCA=180°
90°+45°+x=180°
135°+x=180°
x=45°=BCA
<h2>since BCA=ABC=<u> </u>45° each </h2><h2>therefore,</h2>
What is the range of possible sizes for side x? the other two sides are 8.0 and 8.5
1 answer:
Answer: 0.5 < x < 16.5.
Step-by-step explanation:
Given: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
- Sum of any two sides > third side. (i)
- Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.
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