The acute angles of a right triangle is in the ratio 2 : 1. The smallest angle is ?
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The acute angles of a right triangle is in the ratio 2 : 1. The smallest angle is ?
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Answer :
Given :
To find :
Solution :
By the angle sum property of a triangle ,
Angle 1 + angle 2 + Angle 3 = 180° _____(1)
Let angle 1 = right angle = 90° and the common ratio between angle 2 and angle 3 be x .
Substituting these values in equation 1 .
90° + 2x + x = 180°
⇢90° + 3x = 180°
⇢3x = 180° -90°
⇢3x = 90°
⇢x = 90° / 3
⇢x = 30°
Hence , the smallest angle is 30° .
______________________
• A triangle that has one angle 90° is called a right angled triangle .
• According to angle sum property of a triangle , the sum of all interior angles of a triangle sums up to 180° .
Verified answer
Step-by-step explanation:
The acute angles of the right angled triangle are x and 2x.
Hence x+2x = 3x = 90, or
x = 90/3 = 30.
So the two acute angles of the right angled triangle are 30 deg and 60 deg. Answer
hope it helps!!