Question

The angles of the triangle are in the ratio 3:5;7. The triangle is​

Answer 1

Answer:

12

Step-by-step explanation:

3x + 5x + 7x = 180

15x = 180

x = 12

3x = 3 × 12 = 36

5x = 5 × 12 = 60

7x = 7 × 12 = 84

the triangle is isoleces

Answer 2

Answer:

The Triangle is Acute angled.

• First angle = 3x = 3 × 12 = 36
• Second angle = 5x = 5 × 12 = 60
• Third angle = 7x = 7 × 12 = 84

Step-by-step explanation:

Given:

• The ratio of the triangle is 3:5:7

Properties Used:

• Sum of all angles of a triangle is 180°.

Procedure:

Let's assume the first angle = 3x

Second angle = 5x

The third angle = 7x

Now, we know that sum of all angles is 180°

$\implies \sf \: 3x + 5x + 7x = 180$

$\implies \sf 8x + 7x = 180$

$\implies \sf \: 15x = 180$

$\implies \sf \: x = \dfrac{180}{15}$

$\implies \sf \: x = \dfrac{60}{5}$

$\implies \sf \: \: x = 12$

• First angle = 3x = 3 × 12 = 36
• Second angle = 5x = 5 × 12 = 60
• Third angle = 7x = 7 × 12 = 84

We can see that all angles in this triangle are acute angle. hence, it is an acute angles triangle.

What is acute angles triangle?

• An acute triangle is a sort of triangle in which all angles of a triangle is 180°.