Question

the angle of a triangle are in ratio 3.5.7 then angle lies between two angles​

Answer 1

Step-by-step explanation:

Let angles of a triangle be ∠A,∠Band∠C. Since, all angles are less then 90∘, hence the triangle is an acute angled triangle

Answer 2

Answer:

∠A=3x=3×12∘=36∘

∠B=5x=5×12∘=60∘

and ∠C=7x=7×12∘=84∘

Step-by-step explanation:

Given, the ratio of angles of a triangle is 3:5:7

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 is 180

∴ 5x+3x+7x=180∘

⇒ 15x=180∘

x=180/15=12∘

∠A=3x=3×12∘=36∘

∠B=5x=5×12∘=60∘

and ∠C=7x=7×12∘=84∘

Since, all angles are less then 90∘, hence the triangle is an acute angled triangle .

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