54.6k views
5 votes
Find the exact value of x.

Find the exact value of x.-example-1
User Noslone
by
8.0k points

2 Answers

2 votes

Answer:

x=6.9

Explanation:


x^(2) =6*8


x=√(48)


x=6.9


hope
it
helps...


have
a
great
day!!!

User Dimitri Danilov
by
8.1k points
3 votes

The exact value of x in the right triangle is determined as 4√3.

How to calculate the exact value of x?

The exact value of x is calculated by applying the following formula as shown below;

The given side lengths of the triangle;

hypothenuse side = 8

adjacent leg = x

Let the opposite leg = y

Using Pythagoras theorem, the value of x is calculated as;

x² = 8² - y² ----- (1)

Considering the smaller right triangle with base length of 2, we will have the following equation;

h² = y² - 2² ------ (2)

Considering the second part of the triangle;

h² = x² - (8 - 2)²

h² = x² - 6² ---- (3)

Substitute (3) into (2)

x² - 6² = y² - 2²

y² = x² - 6² + 2²

y² = x² - 32 ----- (4)

Substitute (4) into (1)

x² = 8² - y²

x² = 8² - (x² - 32)

x² = 64 - x² + 32

2x² = 96

x² = 96/2

x² = 48

x = √48

x = 4√3

User Aviral Sanjay
by
8.1k 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