8. The isosceles triangle on the right has a perimeter of \( 60 \mathrm{~cm} \). a) Write an algebraic equation to represent this scenario. b) Solve the equation to determine each of the side lengths. Round each side to two decimal places. Write the side lengths below. 9. The isosceles triangle on the right has a perimeter of \( 90 \mathrm{~cm} \). a) Write an algebraic equation to represent this scenario. b) Calculate each of the side lengths. \( 1.7 x \) c) Calculate the area of the triangle. d) Explain how you arrived at your solution.
Added by Carol H.
Close
Step 1
a) In an isosceles triangle, two sides are equal. Let's denote the equal sides as x and the base as y. The perimeter of the triangle is the sum of all sides, so the equation is x + x + y = 60. b) We don't have enough information to solve for both x and y. Show more…
Show all steps
Your feedback will help us improve your experience
Rylie Howey and 100 other Calculus 1 / AB 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
The perimeter of an isosceles triangle $A B C$, where the two equal sides each measure twice that of the base, is 60 units. If the base of a similar triangle measures 6 units, then find its perimeter.
Linear Equations and Inequalities
Ratio and Proportion Applications
Solve each problem by using three variables. See Examples 5 and $6 .$ remember that the sum of the measures of the angles of a triangle is $\left.180^{\circ} .\right)$ (IMAGE CANNOT COPY) The perimeter of a triangle is $70 \mathrm{cm} .$ The longest side is $4 \mathrm{cm}$ less than the sum of the other two sides. Twice the shortest side is $9 \mathrm{cm}$ less than the longest side. Find the length of each side of the triangle.
Systems of Linear Equations
Applications of Systems of Linear Equations
A triangle has sides of lengths $36 \mathrm{cm}, 48 \mathrm{cm},$ and $60 \mathrm{cm} .$ Find the perimeter of the triangle.
Whole Numbers
Addition and Subtraction of Whole Numbers
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD