The three angles of a triangle are in the ratio 5:4:1. Find all the angles of the triangle.
2 answers:
Answer:
18°, 72°, 90°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the parts of the ratio, 5 + 4 + 1 = 10 parts
divide to find the value of one part of the ratio
180° ÷ 10 = 18° ← value of 1 part of the ratio , thus
5 parts = 5 × 18° = 90°
4 parts = 4 × 18° = 72°
Thus the angles of the triangle are 18°, 72° and 90°
Answer:
Step-by-step explanation:
let the first angle be 5x
second be 4x
and third be 1x
as we know that by adding all the sides of triangle we get 180°
therefore ,
5x+4x+1x=180°
10x=180°
hence ,
x=18°
first angle - 18*5 = 90°
second angle - 18*4=72°
third angle - 18°
HOPE THIS HELPS YOU !!!
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