Given the lengths of the sides, state if the triangle is acute, obtuse, or right. 8, 15, and 17 This is a(n) blank triangle.

Mathematics

1 answer:

Ivahew [28]3 years ago

8 0

Answer:

This is a right triangle

Step-by-step explanation:

Pythagoras theorem is used to determine if a triangle is right, acute or obtuse

If the sum of squares of two shorter lengths is greater than the square of third side then the triangle is an acute triangle.

If the sum of squares of two shorter lengths is less than the square of third side then the triangle is an obtuse triangle.

If the sum of squares of two shorter lengths is equal the square of third side then the triangle is a right triangle.

so,

$(17)^2 = (15)^2+(8)^2\\289 = 225+64\\289=289$

Therefore, the given triangle is a right triangle ..

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Rewrite these in increasing order of length:<br> 133 dm. 433 cm, 308 km, 91 mm

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$\boxed{91mm$

<h2>Explanation:</h2>

First of all, let's transform each measurement into meter knowing the following relationships:

$1dm=0.1m \\ \\ 1cm=0.01m \\ \\ 1km=1000 m \\ \\ 1mm=0.001m$

Therefore, we can compute the following:

$\bullet \ 133dm \rightarrow 133dm(\frac{0.1m}{1dm})=13.3m \\ \\ \bullet \ 433cm \rightarrow 433cm(\frac{0.01m}{1cm})=4.33m \\ \\ \bullet \ 308km \rightarrow 308km(\frac{1000m}{1km})=308,000m \\ \\ \bullet \ 91mm \rightarrow 91mm(\frac{0.001m}{1mm})=0.091m$