Question

In Triangle QSR, m2Q = 45°, m angle S = 90° and SR = 4,
find QS.​

Answer 1

Answer:

SR = 4

angle (Q+S+R) = 180° [angle sum property]

angle (Q+S) = (90+45)° = 135°

therefore ,

angle R = (180-135)° =45°

since , Angle Q = angle R = 45°

Side SR = SQ = 4

(sides corresponding to equal angles are equal)

(hoping that the answer is right..)

Answer 2

Answer:

QS = 4 unit

Step-by-step explanation:

In triangle QSR

Angle Q = 45

Angle S = 90

Angle R = 180 - (90 + 45)

Angle R = 180 - 135

Angle R = 45

Since angle R = angle S = 45

Triangle QSR is a isosceles triangle.....(If base angles of a right angled

                                                               triangle are equal, it is isosceles)

Therefore, QS = SR ( equal sides of isosceles triangle)

SR = 4

QS = 4 unit