Answered

Connect with a global community of knowledgeable individuals on IDNLearn.com. Our community provides timely and precise responses to help you understand and solve any issue you face.

the sides of a triangle, in centimetres,are x,2x-3 and 2x+5. The perimeter of the triangle is 57 cm.a)write down an equation for x. b)work out the lengths of three sides of the triangle

Sagot :

Answer:

11 cm, 19 cm, 27 cm

Step-by-step explanation:

Triangles have 3 sides and perimeter is the sum of all side lengths. So the equation is x + (2x-3) + (2x+5) = 57.

x + (2x-3) + (2x+5) = 57

x + 2x - 3 + 2x + 5 = 57

x + 2x + 2x - 3 + 5 = 57

5x + 2 = 57

5x = 57 -2

5x = 55

x = 11

Now that we know the value of x, we can figure out the side lengths. The first side (x) is 11 cm long, the second side (2x - 3) is 19 cm, and the third side (2x + 5) is 27 cm long.

Hi1315idn

Answer with step by step explanation

The perimeter of a triangle is the sum of the sides.

There fore,

a) x + 2x - 3 + 2x + 5 = 57

Now, let us solve the above equation and find the value of x.

Let us solve.

x + 2x - 3 + 2x + 5 = 57

Combine like terms.

5x -3 + 5 = 57

5x + 2 = 57

5x = 57 - 2

5x = 55

Divide both sides by 5.

x = 11

And now they've asked us to write the lengths of three sides.

Let us write now.

b) x = 11 cm

( 2x - 3 ) ⇒ ( 2 × 11 - 3 ) ⇒ ( 22 - 3 ) ⇒ 19 cm

( 2x + 5 ) ⇒ ( 2 × 11 + 5 ) ⇒ ( 22 + 5 ) ⇒ 27 cm

Let me know if you have any other questions. :)

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.