b) If the angles of a triangle are in the ration of 3:4:5,find them
Answers
Answer:
45, 60 and 75.
Step-by-step explanation:
Let the angles be 3x, 4x and 5x.
3x + 4x + 5x = 180 ( Angle Sum property of triangle)
12x = 180
x= 180/12
X= 15
Therefore, the angles are
3x = 3 × 15 = 45
4x = 4 × 15 = 60
5x = 5 × 15 = 75.
Hope this helps you.
Answer:
Angles = 45 ,60 , 75 degree
Step-by-step explanation:
According to the information provided in the question it is given as
Angles of a triangle are in the ration of 3:4:5
We need to find the angles.
A triangle's angles add up to 180 degrees because one exterior angle is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the third angle to make a 180 angle.
Let us assume angle is x hence
= 3 x + 4 x +5 x
Now as per the total angle of a triangle it is equal to 180
So substituting this value in the equation as follows
3 x + 4 x + 5 x = 180 ( Sum Angles property of triangle)
12 x= 180
x= 15
Now by putting value of x we get the angles as follows
3 x= 3 x 15 = 45
4 x = 4 x 15 = 60
5 x =5 x 15 = 75
Hence, the angles are: 45 ,60 ,75