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3 years ago

Triangle abc is similar to xyz. which proportion can be used to find the unknown side length

Mathematics

1 answer:

Alex17521 [72]3 years ago

7 0

Unknown side length of two similar triangles can be found out by scale factor and any of the side lengths.

Step-by-step explanation:

The similarity is one of the criteria of triangles. Two triangles are similar when their respective sides are in similar ratio or proportion. In layman’s term, it can be understood as a condition in which two triangles have similar shapes but not similar sizes.

If ΔABC is similar toΔ XYZ, then their respective sides would be in proportion to each other.

This means AB/XY=AC/XZ=BC/YZ

This common ratio is often termed as “scale factor”

Hence any sides length can be found out if either of the terms (i.e. scale factor, side ) is given.

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4.89 is this a rational or a irrational<br>

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Answer:

Rational because it isn't a repeating decimal

Step-by-step explanation:

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3 years ago

Solve for h and c to find what h and c equals; 34.50=4h+7c and 30.50=8h+3c

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34.5=4h+7c
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Put c=38.5/11 into one of the equations
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3 years ago

There is 1000cm3 of aluminum available to cast a trophy that will be in the shape of a right square pyramid. Is this enough alum

stealth61 [152]

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Step-by-step explanation:

The given is,

Volume of aluminium available is 1000 cubic centimeters

Shape of trophy is right square pyramid

Trophy has a base edge of 10 cm and slant height of 13 cm

Step:1

Formula for volume of right square pyramid,

$Volume, V = a^{2}\frac{h}{3}$ .....................................(1)

Where, a - Base edge value

h - Height of pyramid

From given,

a = 10 cm

h = 13 cm

Equation (1) becomes,

$= 10^{2}(\frac{13}{3} )$

$= (100)(4.333)$

$= 433.33 cm^{3}$

Volume of trophy = 433.33 cubic centimeters

Compare with the volume of available aluminium and volume of right square pyramid,

$Volume of available aluminium > Volume of right square pyramid$

$1000 cm^{3} > 433.33 cm^{3}$

So, the given volume of aluminium is enough to make right square pyramid shaped trophy.

Result:

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

6 0

3 years ago

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