A triangle EFS, where EF is the base, is split into half with the line GH connecting to both legs. GH=20m FG=30m GS=24m HS=26m HE=32.5m EF=?

A triangle EFS, where EF is the base, is split into half with the line GH connecting to both legs. GH=20m FG=30m GS=24m HS=26m HE=32.5m EF=?

Analytic geometry
asked 2020-11-09
A triangle EFS, where EF is the base, is split into half with the line GH connecting to both legs.

Answers (1)

\(\displaystyle\triangle{G}{S}{H}{\quad\text{and}\quad}\triangle{F}{S}{E}\) share \(\displaystyle\angle{S}\), and \(\displaystyle{S}\frac{{G}}{{S}}{F}={S}\frac{{H}}{{S}}\)E, then \(\displaystyle\triangle{G}{S}{H}\sim\triangle{F}{S}{E}\) by SAS. Thus:

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