Question

2.
The Triangle is an___________angled triangle if the angles of a triangle are in the ratio 5:3:7​

Answer 1

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 2

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