Question

I don't understand any one can solve????​

Answer 1

Solution

Given :-

• Angle of triangle are, (3x - 2), 2(x +1), 10(x + 12)

Find, :-

• Value of x
• Every angle of given triangle.
• Show, that , given triangle is isosceles triangle.

Explanation

We Know,

Sun of all angle of any triangle always be 180° .

Let,

Angle of given triangle , is <A ,< B , <C.

Then,

==> A + B + C = 180° .

Where,

• A = (3x - 2) ,
• B = 2(x + 1)
• C = 10(x + 12)

Keep all above Values,

==> (3x - 2) + 2(x + 1) + 10(x + 12) = 180°

==> 3x - 2 + 2x + 2 + 10x + 120 = 180°

==> 15x + 120 = 180°

==> 15x = 180 - 120

==> 15x = 60

==> x = 60/15

==> x = 4 .

Since,

• Value of x be = 4 .

Now, Calculate avery angle.

For <A.

• <A = 3x - 2

keep value of x

==> <A = 3×4 - 2

==> <A = 12 - 2

==> <A = 10 °

For, <B

• <B = 2(x + 1)

keep value of x

==> <B = 2(4 + 1)

==> <B = 2 × 5

==> <B = 10 °

For, <C

• <C = 10(x + 12)

keep value of x

==> <C = 10(4+12)

==> <C = 10×16

==> <C = 160°

we know,

The angle opposite side to equal side are equal , then we can say that is isosceles triangle.

Hence

• These triangle be isosceles triangle.

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