Question

In the given figure, find the value of x, if all measurements are in cms.

• A. 9 cm
• B. 7 cm
• C. 11 cm
• D. 13 cm

Answer 1

The correct option is A 9 cm

In $\Delta PQR$ and $\Delta PTR$

$(PQ{)}^2+(PR{)}^2=2\left[\right(QT{)}^2+\left(PT{)}^2\right]$

$\Rightarrow (24{)}^2+(12{)}^2=2(x^2+279)$

$\Rightarrow 576+144=2x^2+558$

$\Rightarrow 2x^2=576+144-558=162$

$\Rightarrow x^2=81$

$x=9$ cm