Triangles $ABC$ and $AED$ in the diagram above are similar. Find $a$, $x$. Source check: the

Question

Triangles $ABC$ and $AED$ in the diagram above are similar. Find $a$, $x$. Source check: the diagram gives $AD=2.1$, $DE=2.4$, $AE=2.8$ cm and $\angle ADE=107^\circ$. The cosine rule applied to those three sides instead gives $\angle ADE\approx76.6^\circ$. The printed data are inconsistent. The answers $a=36^\circ$ and $x=4.55$ cm are the formal results from the stated angle correspondence and length proportions, respectively; they do not describe one triangle satisfying every given.

Accepted Answer

$\text{(a)}\ a=36^\circ$ $\text{(b)}\ x=4.55\text{ cm}$ Results are conditional as explained in the source check; the complete printed givens are inconsistent.

Similar Triangles \(𝐴𝐵𝐶\) and \(𝐴𝐸𝐷\): Finding Angle and Side Length

Similar Triangles \(𝐴𝐵𝐶\) and \(𝐴𝐸𝐷\): Finding Angle and Side Length

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