What is the sign of the larger absolute value
1 answer:
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Option A: >
Solution:
Given a triangle GHJ.
The line GH is perpendicular to line HJ.
This means the triangle is a right angled triangle.
In ΔGHJ, GH is the base of the triangle and
HJ is a height of the triangle.
Then the third side must be the hypotenuse of the right triangle.
We know that by the Pythagoras theorem,
This clearly shows that the hypotenuse is greater than the height.
⇒ GJ > HJ
Option A: > is the correct answer.
If line GH is perpendicular to line HJ, then GJ is > HJ.
Given:
• AD = 3
,• DC = 27
,• BD = x + 3
Let's solve for x.
To solve for x, apply the altitude formula:
Where BD is the altitude.
Cross multiply:
Plug in the values and solve for x:
Take the square root of both sides:
Therefore, the value of x is 6 .
ANSWER:
d. 6