In the diagram, ∆PQR ~ ∆QRS. Which pair of equations will help you find the value of x?

Question

x/5 = 13/RS x² + RS² = 13²

5/13 = 13/RS x² + 13² = RS²

x/13 = 13/5 x² + RS² = 13²

13/5 = 13/RS x² + 13² = RS²

Quizzma Team · Answer

To solve for the value of ( x ) given that ( Delta PQR sim Delta QRS ), we can use the property of similar triangles, which states that the ratios of corresponding sides are equal.

For the triangles ( Delta PQR ) and ( Delta QRS ), corresponding sides would give us the equation:

[

frac{x}{5} = frac{13}{RS}

]

This is derived from the corresponding sides ( PQ ) and ( QR ) compared to ( QR ) and ( RS ).

Therefore, the correct choice is:

x/5 = 13/RS

This equation will help us set up the proportions needed to solve for ( x ) given ( RS ).

If you need further clarification or more questions answered, feel free to ask!

In the diagram, ∆PQR ~ ∆QRS. Which pair of equations will help you find the value of x?

1 Answer