In triangle ABC, a=√2, b=1, and measure of angle a=90. Find the measure of angle B.

A squared plus B squared equals C squared

Step-by-step explanation:

In the triangle ABC,  A is the right angle;  the side "a", opposite to the angle A, is the hypotenuse and side "b" is the leg.

√ (√2)²-1² = √2-1= √1= 1

according to the Pythagorean theorem.

It means that you have the right angled triangle with congruent legs; thus the triangle is isosceles.

Hence, the angles at the base (at the hypotenuse) are congruent and each is equal to  180°-90°/2 = 45°

Answer.  The measure of the angle B is 45°.

Step-by-step explanation:

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