What is the value of x? x= ____ units

Mathematics

2 answers:

alekssr [168]3 years ago

6 0

We have similar triangles RST ,TSR and TRQ.The triangles are similar to each other .

Similar triangles have sides in proportion.

In similar triangles TQR and TRS:

$\frac{TR}{ST} =\frac{TQ}{TR}$

Or,

$\frac{x}{9} =\frac{16}{x}$

Cross multiplying

$x^{2}=16(9)$

$x^{2}=144$

Taking root

x=12.

Vera_Pavlovna [14]3 years ago

3 0

∵ ΔSRQ is a right triangle
and RT⊥SQ
∴ x² = ST * TQ
∴ x² = 9 *16 = 144

∴ x = √144 = 12

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Step-by-step explanation:

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$\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}$

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