Where on the wall should she aim if she's standing at point [math]A[/math]?
How can you check to see if your bank shot works?
The students are amazed! How is Mai so accurate?
What is the height, [math]h[/math], of the student?
What is the length of side [math]BD[/math]? [br]
In right triangle [math]ABC[/math], angle [math]C[/math] is a right angle, [math]AB=17[/math], and [math]BC=15[/math]. What is the length of [math]AC[/math]?
What is the length of [math]AC[/math]?
[img]data:image/png;base64,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[/img][br][br][math]\frac{a}{x}=\frac{c}{a}[/math] can be rewritten as [img]data:image/png;base64,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[/img] and [math]\frac{b}{y}=\frac{c}{b}[/math] can be written as [img]data:image/png;base64,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[/img]. So, [math]a^2+b^2=[/math][img]data:image/png;base64,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[/img]. By factoring, [math]a^2+b^2=[/math][img]data:image/png;base64,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[/img] . We know that [math]x+y=[/math][img]data:image/png;base64,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[/img]. So, [math]a^2+b^2=[/math][img]data:image/png;base64,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[/img].
[size=150]Clare thinks the quadrilaterals are similar because the side lengths are proportional. Diego thinks they need more information to know for sure if they are similar. [/size][br][br]Do you agree with either of them? Explain your reasoning. [br]