College

We appreciate your visit to In ΔFGH tex f 60 text cm tex tex g 10 text cm tex and tex h 62 text cm tex Find the measure of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

In ΔFGH, [tex]f = 60 \, \text{cm}[/tex], [tex]g = 10 \, \text{cm}[/tex], and [tex]h = 62 \, \text{cm}[/tex]. Find the measure of [tex]\angle F[/tex] to the nearest degree.

Answer :

The measure of ∠F of the triangle FGH, where all the sides are known is 74 degrees to the nearest degree.

What is the law of cosine?

When the three sides of a triangle is known, then to find any angle, the law of cosine is used.

It can be given as,

[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

In the triangle FGH the measure of the line segment f is 60 centimeter, the measure of the line segment g is 10 cm and the measure of the line segment h is 62 centimeters.

The measure of the angle ∠F has to be find out. To find the value of angle F where side f is 60 cm. Thus, put the values of the all the sides in the above formula as,

[tex]60^2=10^2+62^2-2(10)(62)\cos (F)\\3600=100+3844-1240\cos (F)\\ F=\cos^{-1}(0.27742)\\F\cong74^o[/tex]

Hence, the measure of ∠F of the triangle FGH, where all the sides are known is 74 degrees to the nearest degree.

Learn more about the law of cosine here;

https://brainly.com/question/4372174

Thanks for taking the time to read In ΔFGH tex f 60 text cm tex tex g 10 text cm tex and tex h 62 text cm tex Find the measure of. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Answer:

74

Step-by-step explanation: