Is a triangle with two congruent sides always have 45 45 and 90 degrees?

2 answers:

8 0

No. Two angles will have to be the same and the third angle will just be 180° minus twice the smaller angles.

So if we let the equal angles equal a, and the large angle equal be we have:

2a+b=180

So there are infinitely many values that a and b can have.

a=(180-b)/2, so the smaller equal angles have the range (0,90)

b=180-2a, so the larger has a range of (0,180)

barxatty [35]2 years ago

7 0

No.
Taat triangle is right-angled ( one angle = 90 degrees)
There are many triangles with congruent sides where 2 angles are equal and the other is 180 - sum of these 2, for example

30 30 120
50 50 80
40 40 100 etc...

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To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

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The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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