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2 years ago

Help please!!!! real answers please need it in 1 hour.

Mathematics

2 answers:

Tresset [83]2 years ago

8 0

Answer:

its option A

Step-by-step explanation:

s2008m [1.1K]2 years ago

6 0

Answer:

5m + 37 = 79.50

Step-by-step explanation:

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Part A: $\triangle RPQ \sim \triangle RSP$

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Step-by-step explanation:

We are given a right angled triangle $\triangle RPQ$ with $\angle P = 90^\circ$ .

PS is perpendicular to the hypotenuse RQ of $\triangle RPQ$ and S lies on RQ.

Part A:

To identify the pair of similar triangles.

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Part B:

To identify the type of similarity.

Kindly refer to the image attached in the answer area.

Let us consider the triangles $\triangle RPQ \ and\ \triangle RSP$ .

$\angle RSP =\angle RPQ =90^\circ$

Also, $\angle R$ is common to both the triangles under consideration.

Now, we can see that two angles of two triangles are equal.

So, third angle of the two triangles will also be same.

i.e. All three angles of two triangles $\triangle RPQ \ and\ \triangle RSP$ are equal to each other.

So, by A-A-A (Angle - Angle - Angle) similarity, we can say that $\triangle RPQ \sim \triangle RSP$ .

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The ratio of corresponding sides of two similar triangles is equal.

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