Question

Given a right triangle $ABC$, with $AC=25x$ and $AB=24x$ as shown, if $BC=7$ units, then $x=$

• A. $1$
• B. $2$
• C. $3$

Answer 1

The correct option is A $1$

For the triangle $ABC,AB=24x,AC=25x$ and $BC=7$ units.
Using pyhtagorean theorem:
$A{C}^2=A{B}^2+B{C}^2$
$\Rightarrow (25x{)}^2=(24x{)}^2+7^2$
$\Rightarrow 625x^2=576x^2+49$
$\Rightarrow 49x^2=49\Rightarrow x^2=1\Rightarrow x=1$