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2 years ago

What is the triangle proportionality therom

1 answer:

5 0

If a line <span>parallel </span>to one side of a <span>triangle </span>intersects the other two sides of the triangle, then the line divides these two sides proportionally.

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2 years ago

I tried 8 and 1 and this is probably and easy question but can you pls help

Anarel [89]

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2 years ago

Given: △RST ~ △VWX

tatiyna

Answer:

Given

Step-by-step explanation:

Given that: △RST ~ △VWX, TU is the altitude of △RST, and XY is the altitude of △VWX.

Comparing △RST and △VWX;

TU ~ XY (given altitudes of the triangles)

<TUS = <XYW (all right angles are congruent)

<UTS ≅ <YXW (angle property of similar triangles)

Thus;

ΔTUS ≅ ΔXYW (congruent property of similar triangles)

<UTS + <TUS + < UST = <YXW + <XTW + <XWY = $180^{0}$ (sum of angles in a triangle)

Therefore by Angle-Angle-Side (AAS), △RST ~ △VWX

So that:

$\frac{TU}{XY}$ = $\frac{US}{YW}$ (corresponding side length proportion)

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2 years ago