Question

Using the information given in the figure, find the values of x and y.

Answer 1

Given, $AB=AC$
$⟹94=6x+4⟹6x=90⟹x=15$


In $△ABD$ and $△ACD$,
(i) $\angle ADB=\angle ADC={90}^{\circ }$ ... (given)
(ii) AB = AC ... (given)
(iii) AD = AD ... (common side)
$\Rightarrow$$△ABD\cong △ADC$ ... (RHS congruence rule)
Then, $BD=CD$ ... (CPCT)
$\Rightarrow 2y–7=11\Rightarrow 2y=18\Rightarrow y=9$