164k views
5 votes
What is the value of X?

What is the value of X?-example-1

1 Answer

4 votes

Answer:

x ≈ 6.6 cm

Explanation:

It's a right triangle.

Use the Pythagorean theorem:


leg^2+leg^2=hypoyenuse^2

We have:


leg=13.5\ cm,\ leg=x\ cm,\ hypotenuse=(x+8.45)\ cm

Substitute:


13.5^2+x^2=(x+8.45)^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\182.25+x^2=x^2+2(x)(8.45)+8.45^2\qquad\text{subtract}\ x^2\ \text{from both sides}\\\\182.25=16.9x+71.4025\qquad\text{subtract 71.4025 from both sides}\\\\110.8475=16.9x\qquad\text{divide both sides by 16.9}\\\\(110.8475)/(16.9)=x\to x\approx6.6\ cm

User Jamo
by
7.7k 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