4 years ago

How do you find x ,y and z in a triangle

Mathematics

1 answer:

lilavasa [31]4 years ago

8 0

Draw a triangle, note out each side as x,y and z

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What is the value of x ?enter your answer as a decimal in the box

maksim [4K]

Answer:

$x=67.5\ ft$

Step-by-step explanation:

we know that

Triangles MNP and MAB are similar by AAA theorem

If two figures are similar, then the ratio of its corresponding sides is equal

$\frac{MB}{MP}=\frac{MA}{MN}$

substitute the values

$\frac{x}{97.5}=\frac{71.5-22}{71.5}$

$\frac{x}{97.5}=\frac{49.5}{71.5}$

$x=97.5*\frac{49.5}{71.5}=67.5\ ft$

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4 years ago

Find the distance between the points

Lana71 [14]

$\boxed{d=\sqrt{(x_a-x_b)^2+(y_a-y_b)^2}}\\ \\ d=\sqrt{(2-(-4))^2+(5-(-1))^2}\\ \\ d = \sqrt{(2+4)^2+(5+1)^2}\\ \\ d=\sqrt{6^2+6^2}\\ \\ d=\sqrt{36+36}\\ \\ d=\sqrt{72}\\ \\ d=\sqrt{2}\cdot\sqrt{36}\\ \\ \boxed{d=6\sqrt{2}}$

$\sqrt{2} = 1,41\\ \\ \boxed{d\approx8,5}$

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