Find the area of triangle PQR if p=65 cm, r=43 cm, and angle FQR = 65 degrees. Give your answer correct to 2 decimal places.
Added by John G.
Close
Step 1
To do this, we can use the Law of Cosines: q^2 = p^2 + r^2 - 2pr*cos(FQR) q^2 = 65^2 + 43^2 - 2*65*43*cos(65) q^2 = 4225 + 1849 - 5590*cos(65) q^2 = 6074 - 5590*cos(65) q^2 ≈ 6074 - 5590*(-0.4226) [Using the cosine value of 65 degrees] q^2 ≈ 6074 + Show more…
Show all steps
Your feedback will help us improve your experience
Jason Jacob and 97 other Geometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Use the given information to determine the area of each triangle. Two of the sides are $5.98 \mathrm{cm}$ and $8.05 \mathrm{cm},$ and the included angle is $107.1^{\circ} .$ (Round the answer to one decimal place.)
An Introduction to Trigonometry
Trigonometric Functions of Angles
Use the given information to determine the area of each triangle. Two of the sides are $21.4 \mathrm{cm}$ and $28.6 \mathrm{cm},$ and the included angle is $98.5^{\circ} .$ (Round the final answer to one decimal place.)
Find the area of the following triangle: 8.5 cm 6 cm 19 cm A = [? ] cm² Enter the exact answer as a decimal.
James K.
Recommended Textbooks
Geometry A Common Core Curriculum
Geometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD