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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.
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. :)
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