Use Square of Sum: (a + b)^2 = a^2 + 2ab + b^2
b^2 + 2b * 12 + 12^2
Simplify 12^2 to 144
b^2 + 2b * 12 + 144
Simplify 2b * 12 to 24b
b^2 + 24b + 144
Sorry what grade are you in
Let's assume
shorter side as x
so, first side =2x
third side =x+19
now, we can find perimeter of triangle
perimeter of any triangle is
first side + shortest side + third side
so, we get
we are given perimeter=187
so, we can set it to 187
and then solve for x
so,
shortest length is x=42 feet
First side =2x=2*42=84feet
third side =x+19=42+19=61 feet
so, dimensions are
first side is 42 feet
second side is 84 feet
third side is 61 feet................Answer
2 #'s whose sum is 51: x + y = 51
2 #'s whose difference is 13: x - y = 13
add the 2 equations: 2x = 64 ⇒ x = 32
using either equation find y: 32 + y = 51 ⇒ y = 19
Answer the 2 #'s are 32 and 19
The prime factorization is 5 * 17<span />