Question

the angles of a triangle are in the ratio3:5:7 the triangle is​

Answer 1

Answer:

An acute angled triangle

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 is 180∘]

∴ 5x+3x+7x=180∘

⇒ 15x=180∘

⇒ x=180∘15=12∘

∴ ∠A=5x=5×12∘=60∘

  ∠B=3x=3×12∘=36∘

  ∠C=7x=7×12∘=84∘

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

Answer 2

Given,

angles of triangle in the ratio are 3:5:7

now multiply 'x' to the ratio parts

3x

5x

7x

sum of the angles in a triangle is 180

3x+5x+7x=180

15x=180

x=180/15

x=12

One angle=3x

=3×12

=36

second angle=5x

=5×12

=60

third angle=7x

=7×12

=84

therefore, angles of the triangle are 36,60 and 84.

hope it helps.

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