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2 years ago

NEED ASAP PLS HELP

Mathematics

1 answer:

Nastasia [14]2 years ago

5 0

The sine ratio that was applied in step 2 is incorrect, therefore, the first error is in: B. step 2.

<h3>How to Apply the Sine Ratio?</h3>

The sine ratio that is applied when we want to solve a right triangle is, sin ∅ = opposite length / hypotenuse length.

In step 2, the sine ratio applied is wrong because:

∅ = W
Opposite length = XZ
Hypotenuse length = y

Thus, we should have:

sin(W) = XZ/y

The first error is in: B. step 2.

Learn more about the sine ratio on:

brainly.com/question/2920412

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Given points A(−2,0), B(−5,3), C(−9,−1), P(7,6), Q(4,0), and R(−4,4), which of the following proves that △ABC~△PQR?

UNO [17]

Based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).

<h3>The SSS Similarity Theorem</h3>

Two triangles having three pairs of sides that are proportional can be proven to be similar by the SSS similarity theorem.

If the triangle ABC and triangle PQR are similar, their corresponding sides will be proportional, meaning that: AB/PQ = BC/QR = CA/RP.

Therefore, using the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ , the sides of each triangle is found.

Therefore, it shows that:

AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5

Therefore, based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).

Learn more about the SSS similarity theorem on:

brainly.com/question/4163594

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