Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

The diagram below shows a pennant in the shape of an isosceles triangle. The equal sides each measure 13, the altitude is x+7, and the base is 2x. 13 x + 7 2x 13 What is the length of the base? Your answer

Sagot :

we have that

the altitude divide the isosceles triangle into two congruent right triangles

so

Applying the Pythagorean Theorem

(x+7)^2=13^2+x^2

solve for x

x^2+14x+49=169+x^2

simplify

14x+49=169

14x=169-49

14x=120

x=120/14

simplify

x=60/7

Find the length of the base

2x=2(60/7)=120/7

answer is 120/7 units

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.