Question
In triangle XYZ, a point M lies on YZ such that ∠XMY =
∠XMZ. Given XY = 54 cm, XZ = 36 cm, and YZ = 30 cm, find the length of YM.Solution
ATQ,
Since ∠XMY = ∠XMZ, XM is the angle bisector of ∠X.
By Angle Bisector Theorem:
XY / XZ = YM / MZ
Let YM = x cm
Then MZ = 30 - x cm
54 / 36 = x / (30 - x)
⇒ 3 / 2 = x / (30 - x)
Cross-multiplying:
3(30 - x) = 2x
90 - 3x = 2x
90 = 5x
x = 18
Codes consisting of bars or lines of varying widths or lengths that are computer-readable are known as—
Which Windows utility program locates and eliminates unnecessary fragments of data and rearranges files and unused disk space to optimize operations?
What is the purpose of encryption in computer security?
Which of the following commands is used to go to the Design tab in MS-Word 2019?
When you save an Microsoft Access project, what file format do you use?
Which among the following is an example of an input device?
Which of the following defines the rules that govern communication between devices on a network?
Ctrl, shift and alt are called ________ keys.
What kind of server converts IP addresses to domain names?
Detection of spelling and grammar errors is done by