Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.