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MATH / Segment s₁ has endpoints at (3+√(2),5) and (4,7). Segment s₂ has endpoints at (6−√(2),3) and (3,5). Find the midpoint of the segment with endpoints at the midpoints of s₁ and s₂. E…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Segment s1s_1 has endpoints at (3+2,5)(3+\sqrt{2},5) and (4,7)(4,7). Segment s2s_2 has endpoints at (6−2,3)(6-\sqrt{2},3) and (3,5)(3,5). Find the midpoint of the segment with endpoints at the midpoints of s1s_1 and s2s_2. Express your answer as (a,b)(a,b).
Plain-text mathematical notation (without MathML)
Segment s₁ has endpoints at (3+√(2),5) and (4,7).  Segment s₂ has endpoints at (6−√(2),3) and (3,5).  Find the midpoint of the segment with endpoints at the midpoints of s₁ and s₂.  Express your answer as (a,b).
Original LaTeX notation
Segment $s_1$ has endpoints at $(3+\sqrt{2},5)$ and $(4,7)$.  Segment $s_2$ has endpoints at $(6-\sqrt{2},3)$ and $(3,5)$.  Find the midpoint of the segment with endpoints at the midpoints of $s_1$ and $s_2$.  Express your answer as $(a,b)$.

level

Level 5

type

Algebra

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Source and history

task_id
78505476-ae7f-59ba-b4ad-b52d5b75d52c
task_key
algebra--test--78505476-ae7f-59ba-b4ad-b52d5b75d52c
task_revision_id
1
config / split
algebra / test

Official source

initial import