SOLUTION: How do i find the height of a trianlge with side lengths of 5 cm's?

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Question 611037: How do i find the height of a trianlge with side lengths of 5 cm's?
Found 2 solutions by solver91311, radh:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


No way to tell. You need to classify the triangle more precisely. While you are at it, learn to spell triangle.

John

My calculator said it, I believe it, that settles it
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Answer by radh(108) About Me  (Show Source):
You can put this solution on YOUR website!
To find the height of an equilateral triangle, you'd use the Pythagorean Theorem.


Let's assume that's your triangle. Do you see the two right triangles? Assume P is the midpoint of BC. If that is so, the two right triangles are congruent. This tells you that the angles measures of the angles BPA and APC are equal. Since their sum is 180 degrees, each of them is 90 degrees. Thus triangle APC is a right triangle. The length of CA is 10 m, and the length of PC is 2.5m. Now we can use Pythagorean's theorem to solve this.

Solved by pluggable solver: FIND hypotenuse by two sides

As we know from pythagorean theorem, length of hypoenuse c and sides are related as a%5E2%2Bb%5E2=c%5E2.


So, side c=sqrt%28+a%5E2%2Bb%5E2+%29+=+sqrt%28+5%5E2+%2B+2.5%5E2+%29+=+5.59016994374947



So, the height is approximately 5.6 cms.