Question 1127694: In triangle ABC a= square root 2, b =1 and measure angle A =90. Find the measure of angle B Found 2 solutions by ikleyn, MathLover1:Answer by ikleyn(52887) (Show Source):
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.
Then the other leg length is
= = = 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 = 45°.
Answer. The measure of the angle B is 45°.
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In triangle :
,
measure angle °
Find the measure of angle .
triangle is right angle triangle;
so, since ,
=>
since and , we have isosceles right triangle and angles and are same and each measures °
