Question

This is a 45-45-90 triangle.aWhat is the measure of x?13XX==EV[?]

Answer 1

Answer:
`x\text{ = }\sqrt[]{26}`Step-by-step explanation:

This is a 45-45-90 triangle. It is also called an Isosceles right angled triangle

The triangle is drawn as shown below:

Find the value of x using the trigonometric identity below:

`\begin{gathered} \sin \text{ }\theta\text{ = }\frac{\text{Opposite}}{\text{Hypotenuse}} \\ \sin \text{ 45 = }\frac{\sqrt[]{13}}{x} \\ \frac{1}{\sqrt[]{2}=\text{ }}\text{ }\frac{\sqrt[]{13}}{x} \\ \text{Cross multiply} \\ x\text{ = }\sqrt[]{2}*\sqrt[]{13} \\ x\text{ = }\sqrt[]{26} \end{gathered}`

Therefore:

`x\text{ = }\sqrt[]{26}`