Question

38 U 52 G Which of the following statements is not true about AHUG? Answer А x The measure of ZH is approximately 51.3º. B The measure of G is approximately 36.2º. The length of HG is approximately 64.41 units. The measure of ZG added to the measure of ZH is equal to exactly 90° C D X

Answer 1

Given data:

The first length is UG=52.

The second length is UH=38.

The expression for the angle G is,

`\tan (G)=(UH)/(UG)`

Substitute the given values in the above expression.

`\begin{gathered} \tan G=(38)/(52) \\ \angle G=36.15^(\circ) \\ \approx36.2^(\circ) \end{gathered}`

The angle H is,

`\begin{gathered} \angle H+\angle U+\angle G=180^(\circ) \\ \angle H+90^(\circ)+36.2^(\circ)=180^(\circ) \\ \angle H=53.8^(\circ) \end{gathered}`

The expression for GH length is,

`\begin{gathered} \cos (36.2^(\circ))=(52)/(GH) \\ GH=64.41 \end{gathered}`

Thus, the option (A) is not true.