Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

The angles of a triangle are in the ratio 1:1:2. If the largestside of the triangle is 4, then the shortest side of the triangle is

Sagot :

Triangle of sides ratio 1 : 1 : 2 is an isosceles triangle, with a diagram given above to illustrate it.

With the ratio of the sides given,

Largest side of the triangle is 4 units, let the length of the shortest side be x

Using scale ratio to determine the shortest side,

[tex]\begin{gathered} \text{Scale ratio of the sides =}\frac{shortest\text{ side}}{largest\text{ side}}=\frac{1}{2} \\ \text{Actual length ratio = }\frac{shorstest\text{ side}}{largest\text{ side}}=\frac{x}{4} \\ \text{Equating both ratios} \\ \frac{x}{4}=\frac{1}{2} \\ \text{Crossmultiply} \\ 2\times x=4\times1 \\ 2x=4 \\ \text{Divide both sides by 2} \\ \frac{2x}{2}=\frac{4}{2} \\ x=2 \end{gathered}[/tex]

Hence, the length of the shortest side is 2 units.

View image YounisO433124
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.