Question

The three angles of a triangle are in the ratio 1:2:1. Find all the angles of the triangle.

Answer 1

Step-by-step explanation:

Let ABC be the D

Let ∠A=x

∠B=2x

∠C=x

∠A+∠B+∠C=180

4x=180

x=45

∠A=45

∠B=90

∠C=45

Since ∠A=∠C

ABC is isosceles D

4

.

Since ∠B=90

ABC is Right angled at B.

Answer 2

Answer:

Angles of triangle are $45$° , $90$° , $45$°  .

Step-by-step explanation:

To find : angles of triangle .

Given : The three angles of a triangle are in the ratio $1:2:1$

Solution :

• As per given data we know that the three angles of a triangle are in the ratio $1:2:1$ .
• Let , $1x, 2x , 1x$ be the angles of triangle .
• We know that sum of measure of all three angles of triangle is $180$° .
• Then , we write as , $1x + 2x + 1x = 180$
• On solving we get ,

        $1x + 2x + 1x = 180 \\ 4x = 180 \\ x=\frac{180}{4} \\ x= 45$

• Now , substituting the value of $x$ in $1x, 2x , 1x$ to find the angles .
• $1x = 1\times 45 = 45$°
• $2x = 2\times 45 = 90$°
• $1x = 1\times 45 = 45$°