
Kathryn H.
asked 04/21/15I need info on triangle
One half of a triangle is labeled BAC. <B & <A are 45 degrees. <C=90 degrees. Base is 28 (AD). Altitude Line (segment BA) is 21. The hypotenuse is divided into 2 (BC=x, & CD =35. I need (x) which is the line BC. The line AC has no number or letter. Need (x). Th for B Only angles marked is <A which is divided by line AC into 2 45 degree <s.
| \
| \ x
| \ C <c=90 deg
21 | / \ ( line BD = 35+x)
| / \ 35
| / \
| / \
<=45 deg A | / \ D <= 45 deg
----------------
| 28 |
.-----------------------.
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1 Expert Answer
Arthur D. answered 04/21/15
Tutor
4.9
(285)
Forty Year Educator: Classroom, Summer School, Substitute, Tutor
Something is wrong with the diagram. If what you have is correct, you have a right triangle with each leg being 35 and the hypotenuse being 28 which is impossible. If you try to solve you get...
21^2+28^2=(x+35)^2
441+784=x^2+70x+1225
1225=x^2+70x+1225
0=x^2+70x
0=x(x+70)
x=0 ?????
also look at the numbers 28, 21, and 35; divide each by 7 and get 4, 3, and 5
this is a 3-4-5 right triangle-3^2+4^2=5^2 or 21^2+28^2=35^2
Kathryn H.
The triangle goes right around. altitude is 21(AB); base is 28 (AD); hypotenuse (DB) is 35 + x. Need x (CB). Left corner is marked with the angle sign which I figured was 45 degrees each (being a right angle). Lline BD intersected by a line which goes from corner of A to middle of DB which is C. Other angles were not marked. Kathryn
Report
04/22/15

Arthur D.
tutor
If CD is 35 and C is the midpoint of DB, then x=35. CD is half of BD.
Report
04/23/15
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