
In a right angle triangle ABC, right angled at C, if B = and AB = 15 units. Find the remaining angles and sides.
Answer
529.2k+ views
Hint:First we will draw the required diagram and then we will use the fact that the sum of all the angles in a triangle is 180, with that we will find the value of . And then we will use the formula of sin or tan to find the remaining sides.
Complete step-by-step answer:
Complete step-by-step answer:
In the above diagram c = AB = 15.
Now it is given = 60, now we will use the fact that the sum of all the angles in a triangle is 180.
Hence we get,
Substituting the values of = 60 and we get,
Now we know that,
Now substituting the values of B = 60, height = b, hypotenuse = c = 15, and base = a we get,
We know that
Now in the formula of tan using we get,
We know that
Hence, we have all the values that have been asked in the question.
Note: To solve this question one can also use the cosine formula and sin formula , and then we will have to substitute the values in these two formula to find the value of the other two sides of the triangle. One can also use Pythagoras theorem to find the value of third side given that the other two sides are known.
Now it is given
Hence we get,
Substituting the values of
Now we know that,
Now substituting the values of B = 60, height = b, hypotenuse = c = 15, and base = a we get,
We know that
Now in the formula of tan using
We know that
Hence, we have all the values that have been asked in the question.
Note: To solve this question one can also use the cosine formula
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