2.
The Triangle is an___________angled triangle if the angles of a triangle are in the ratio 5:3:7
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2.
The Triangle is an___________angled triangle if the angles of a triangle are in the ratio 5:3:7
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Answer:
acute
Step-by-step explanation:
Given, the ratio of angles of a triangle is 5:3:7
Let angles of a triangle be ∠A,∠Band∠C.
Then, ∠A=5X,∠B=3Xand∠C=7x
In ΔABC, ∠A+∠B+∠C=180∘[since, sum of all angles of a triangle is180∘]
∴ 5x+3x+7x=180∘
⇒ 15x=180∘
⇒ x=180∘15=12∘
∴ ∠A=5x=5×12∘=60∘
∠B=3x=3×12∘=36∘
and ∠C=7x=7×12∘=84∘
Since, all angles are less then 90∘, hence the triangle is an acute angled triangle .
Answer:
acute angle triangle
Step-by-step explanation:
say angles are respectively a,b,c
therefore a=5x
b=3x
c=7x
since a+b+c=180
5x+3x+7x=180
15x =180
x = 12
therefore a = 60°
b = 36°
c = 84°
since all angles are less than 90°
therefore it is a Acute angled triangle