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Question : In a $\triangle \mathrm{XYZ}, \mathrm{XO}$ is the median and $\mathrm{XO}=\frac{1}{2} \mathrm{YZ}$. If $\angle \mathrm{YXO}=30^{\circ}$, then what is the value of $\angle \mathrm{XYZ}$?

Option 1: 15°

Option 2: 90°

Option 3: 30°

Option 4: 60°

Team Careers360 23rd Jan, 2024

Correct Answer: 30°


Solution :

Since $XO$ is the median,
$YO = OZ = \frac{YZ}{2}$
Given $XO = \frac{YZ}{2}$,
⇒ $YO = XO$
⇒ $\triangle XYO$ is an isosceles triangle.
Given, $\angle YXO = 30°$
Since angles opposite to equal sides of an isosceles triangle are equal,
⇒ $\angle XYO = 30°$
⇒ $\angle XYZ = 30°$
Hence, the correct answer is 30°.

115 Views

What are alkali and alkaline earth metals

Sunidhi 3rd Dec, 2023

They both basically belongs to the S-Block of the periodic table. Alkali metals are the 1st group elements and alkaline earth metals are 2nd group elements

34 Views

is earth system and science branch is Quivalevnt to applied geology?

Student 18th Jun, 2022

Hi there. In response to your question the answer would be negative. Both of these branches are actually quite different which can be verified from the fact and brochure of a reputed institution offering both of these courses. The course pattern and subjects taught focus on different methodologies and hence it makes it different.


Hope this answer helps; best wishes

97 Views

what is the name of primitive land surface of the earth

vyshnava kumar 18th Feb, 2022

Hey there!

Hope you are doing great. The primitive surface of the earth is known as "Crust". Earth is divided into 4 layers. First one, is crust, it the outermost layer, where the landforms, air and water are covered. Second one is mantle, third goes the inner core and finally the deepest layer is the outer core.

Hope it helps!

89 Views

what is thae name of primitive land surface of the earth

vyshnava kumar 18th Feb, 2022

Hey there!

Hope you are doing great. The primitive surface of the earth is known as "Crust". Earth is divided into 4 layers. First one, is crust, it the outermost layer, where the landforms, air and water are covered. Second one is mantle, third goes the inner core and finally the deepest layer is the outer core.

Hope it helps!

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