right triangles

G

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PLEASE HELP!!
HYP= 26
Other angles= 24 and 10
what are the two missing angles???
of course one is 90 degrees
how do you find the missing angles what are they?
 
AMANDA_L_10 said:
HYP= 26
Click to expand...
Does this mean "the hypotenuse of the right triangle has a length of twenty-six units"?

AMANDA_L_10 said:
Other angles= 24 and 10
what are the two missing angles?
Click to expand...
Didn't you just list the angles? "Other angles = 24 and 10"...? Doesn't this mean "the other two angles have measures of twenty-four degrees and ten degrees"?

If not, then please reply with a clear statement of the exercise, using grammatically-correct English sentences rather than cryptic homemade abbreviations, so other people can know what you mean. Thank you.

Eliz.
 
hyp=26 units
other side lengths= 24 and 10 units
it is a right triangle
what are the 2 missing angles?
 
So you have a right triangle. For clarity, let's label the sides as a, b, and c, with c being, as customary, the hypotenuse. Let |a| = 24 and |b| = 10. Then the angles opposite the sides are A, B, and C. Since C is the angle opposite the hypotenuse c, then it of course is the right angle, so m(C) = 90°.

To find the measures of the other two angles, use inverse-trig functions. Thinking in terms of angle B, which function is formed by the ratio b/c? Form that ratio, and take the inverse-trig function of the ratio. The result is the measure of angle B.

Eliz.
 
so lets se if i get this straight!!
a=10
b=24
c (hyp.)=26

tan-1(a/c)=22.6.......
tan-1(b/a)=67.3.......

90+22.6+67.3= 180 (if i used entire number it would)

so is this right????
 
The ratio "a/c", with c being the hypotenuse, would not be the tangent. You haven't stated which angle you're working with, but if you're working with angle B, then "a/c" would be "adjacent over hypotenuse". Which trig function is this?

(You did arrive at valid answers -- allowing for round-off error -- but I'm not sure how. Make sure you know how!)

Eliz.
 
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