A right triangle is shown.

Mathematics

1 answer:

jarptica [38.1K]3 years ago

3 0

Answer:

Step-by-step explanation:

From the given right angle triangle,

The unknown side represents the hypotenuse of the right angle triangle.

With m∠x as the reference angle,

the adjacent side of the right angle triangle is 7.8

the opposite side of the right angle triangle is 8

To determine m∠x, we would apply

the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan x = 8/7.8 = 1.026

x = Tan^-1(1.026)

x = 45.7° to the nearest tenth

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Triangle PQR and triangle XYZ are similar. The length of PQ= 4 inches, PR = 9 inches and QR = 12 inches. The length of the short

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Simplified Recap:

PQR and XYR are similar.

PQ: 4 inches (shortest side)

PR: 9 inches

QR: 12 inches (longest side)

Solving:

Because they are similar triangles, we know that the sides of one triangle are proportional to the ones on the other. Therefore, the smallest side of PQR is proportional to the smallest side of XYZ. Now, we just need to figure out the constant of proportionality , and we can do that by dividing the smallest side of XYZ triangle by the smallest side of PQR.

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