Question

what is the perimeter of $\triangle tuv$?
perimeter = $square$ units

Explanation:

Step1: Identify coordinates of vertices

$U(-7,9), T(8,9), V(8,1)$

Step2: Calculate length of UT

Subtract x-coordinates: $8 - (-7) = 15$

Step3: Calculate length of TV

Subtract y-coordinates: $9 - 1 = 8$

Step4: Calculate length of UV

Use distance formula: $\sqrt{(8 - (-7))^2 + (1 - 9)^2} = \sqrt{15^2 + (-8)^2} = \sqrt{225 + 64} = \sqrt{289} = 17$

Step5: Sum lengths for perimeter

$15 + 8 + 17$

Answer:

40 units