168k views
4 votes
NEED HELP WITH A MATH QUESTION

NEED HELP WITH A MATH QUESTION-example-1

2 Answers

3 votes
X:6.6 cm is the answer
User Mightyrick
by
8.8k points
2 votes

Answer:

x=6.6 cm

Explanation:

The angle force at the point where the tangent touches the circle is 90° hence the triangle is a right angle triangle . We can apply the Pythagorean relationship in this case

Given the hypotenuse as x+ 8.45 and the base as x and height as 13.5 then;

a²+b²=c² .................where a=x , b= 13.5 and c x+8.45

x² +13.5²= (x+8.45)²

x²+182.25=x²+8.45x+8.45x+71.4025

x²+182.25=x²+16.90x+71.4025-----------------collect like terms

x²-x²+ 182.25-71.4025=16.90x

110.8475=16.90x-------------------divide by 16.90 to remain with x

110.8475/16.90 = x

x=6.5590

x= 6.6 cm

User Jailani
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories