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guajiro [1.7K]
2 years ago
6

Need some help with this. It says to find x.

Mathematics
2 answers:
DanielleElmas [232]2 years ago
4 0

Answer:

x= 5

Step-by-step explanation:

Since RQ= PQ,

3x= 15

<em>Divide both sides by 3:</em>

x= 15 ÷3

\textcolor{red}{x = 5}

\textcolor{steelblue}{\text{Prove for RQ}= \text{PQ}}

Let SP= x

RS= SP= x (given)

Let SQ= y

Applying Pythagoras' Theorem,

<u>In triangle </u><u>QRS</u>

(RQ)²= (RS)² +(SQ)²

(RQ)²= x² +y²

RQ =  \sqrt{ {x}^{2}  +  {y}^{2} }

<u>In triangle </u><u>QPS</u>

(PQ)²= (SP)² +(SQ)²

(PQ)²= x² +y²

PQ =  \sqrt{ {x}^{2} +  {y}^{2}  }

Thus, RQ= PQ.

yKpoI14uk [10]2 years ago
3 0

Answer:

3x = 15

x = 5

Step-by-step explanation:

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