The acute angles of a right angled triangle are in the ratio 2:4. Find the measure of those angles?
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Answered by
4
Let the angles be 2a and 4a
By angle sum property of triangle ,
2a + 4a + 90 = 180
=> 6a + 90 = 180
=> 6a = 90
=> a = 15
First angle = 30°
Second angle = 60°
By angle sum property of triangle ,
2a + 4a + 90 = 180
=> 6a + 90 = 180
=> 6a = 90
=> a = 15
First angle = 30°
Second angle = 60°
gaurav2013c:
Yes
Answered by
7
Answer:
30 and 60
Step-by-step explanation:
there are three angles in a right triangle
they are a right angle(90) and two acute angles
1st angle = 90
second angle= 2x (2:4)
third angle= 4x (2:4)
now we know that the sum of all the angles of a triangle is 180 ]
so 90+2x+4x=180
90+6x=180
6x=180-90=90
x=90/6=15
now the angles are 2x= 2×15=30 and 4x=4×15=60
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