Intermediate Geometry : How to find the height of an acute / obtuse triangle

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #1 : How To Find The Height Of An Acute / Obtuse Triangle

Inter_geo_tri_series_

Find the height of the triangle shown above. 

Possible Answers:

Correct answer:

Explanation:

Use the Pythagorean Theorem to find the height of this triangle: , where  the height of the triangle. 







Example Question #2 : How To Find The Height Of An Acute / Obtuse Triangle

Tri_vt

Find the height of the obtuse triangle shown above. 

Possible Answers:

Correct answer:

Explanation:

To solve this solution, first work backwards using the formula: 




Plugging in the given values we are able to solve for the height.




Example Question #3 : How To Find The Height Of An Acute / Obtuse Triangle

Tri_vt

Find the height of the acute triangle shown above. 

Possible Answers:

Correct answer:

Explanation:

To solve this solution, work backwards using the formula: 



Plugging in the given values we are able to solve for the height.




Example Question #1 : How To Find The Height Of An Acute / Obtuse Triangle

A triangle has a base of  and an area of  square units. Find the height of the triangle. 

Possible Answers:

Correct answer:

Explanation:

To solve this solution, work backwards using the formula: 



Plugging in the given values we are able to solve for the height.




Example Question #2 : How To Find The Height Of An Acute / Obtuse Triangle

An obtuse triangle has a base of  and an area of  square units. Find the height of the triangle. 

Possible Answers:

Correct answer:

Explanation:

To solve this solution, work backwards using the formula: 



Plugging in the given values we are able to solve for the height.





Example Question #1 : How To Find The Height Of An Acute / Obtuse Triangle

An obtuse triangle has a base of  and an area of  square units. Find the height of the triangle. 

Possible Answers:

Correct answer:

Explanation:

To solve this solution, first work backwards using the formula: 



Plugging in the given values we are able to solve for the height.







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