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All right sy mash my uppers next up and i

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saw seles Triangle has legs thes things Ten units long

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in a base Twelve units long What is its area

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in square units All right Well let's See No reason

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if you're triangles When in doubt draw a diagram The

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area the triangles one half the base times the height

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In this situation we need to find height Well if

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we imagine cutting the given triangle in half to form

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two right triangles like this one here the height is

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the vertical leg of each right triangle Well the horizontal

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leg of each right triangle is half the base of

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the original triangle Because of the whole cutting in half

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thing they're so here check it out Looks like this

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Get the ten thing in the ten thing in the

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six there in the h there which is right Well

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we'll use the pythagorean theorem to find age And yes

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it was his best serum by far So we've got

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a squared plus b squared c squared or six squared

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Plus h squared is ten square Now simplify it That

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gives us thirty six Plus h squared is one hundred

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subtract thirty six from both sides We get sixty for

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eight square to sixty four square to sixty four is

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eight So the triangle is eight units tall in the

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area of the original triangle then is one half base

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times height right So it's a halftime twelve times eh

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which is six times eight or forty eight square units

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and note that we use the full base of the

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original triangle there Twelve So that's it The answer is 00:01:29.552 --> [endTime] c forty eight or shmoop Uh

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