Maturitný - RR - base

In an isosceles triangle ABC with base AB, ∠BAC = 20°, AB = 4. The axis of the interior angle at vertex B intersects side AC at point P. Calculate the length of the segment AP. Give the result to two decimal places.

Correct answer:

AP =  1.06

Step-by-step explanation:

AB=4 BAC=20  ABC=BAC=20=20   cos BAC = AB/2 : AC  AC=cosBACAB/2=cos20° AB/2=cos20° 4/2=0.9396934/2=2.12836  AP=PC  AP=AC/2=2.1284/2=1.06

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You need to know the following knowledge to solve this word math problem:

geometryplanimetricsbasic functionsgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
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