Answer:
hb ≈ 7.06cm
Step-by-step explanation:
Using the formulas:
A=hbb
2
A=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving for <em>hb</em>
hb=﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4
2b=﹣154+2·(15·17)2+2·(15·8)2﹣174+2·(17·8)2﹣84
2·17
≈7.05882cm
Answer:
equal ten
Step-by-step explanation:
hope this helps
Answer:
Yes
Step-by-step explanation:
1. Approximate the measure of your angle. Angles can be categorized in three ways: acute, obtuse, and right. Acute angles are less than 90 degrees, obtuse angles are greater than 90 degrees, and right angles are exactly 90 degrees.
2. Place the origin over the center point, or vertex, of the angle you want to measure. The small hole in the middle of the protractor is the origin. Put the vertex of the angle with the center of the cross in the origin.
3. Rotate the protractor to line up one leg of the angle with the baseline. Maintain the vertex of the angle in the origin and rotate the protractor so that one of the legs of the angle falls on the baseline of the protractor.<span>The baseline is even to the edge, but is not the flat edge of the protractor. It is lined up with the center of the origin and the line projects to the start of the scale on either side.
</span>4. Follow the opposite leg of the angle up to the measurements on the protractor's arc. If the line does not pass through the protractor’s arc, make the angle's line longer until it does. You can align the edge of a piece of paper with the angle’s leg to pass beyond the edge of the protractor, continuing the line of the angle. The number the line passes through is the angle's measurement in degrees. <span><span>
</span></span>
Answer:
(d) 71°
Step-by-step explanation:
The desired angle in the given isosceles triangle can be found a couple of ways. The Law of Cosines can be used, or the definition of the sine of an angle can be used.
<h3>Sine</h3>
Since the triangle is isosceles, the bisector of angle W is an altitude of the triangle. The hypotenuse and opposite side with respect to the divided angle are given, so we can use the sine relation.
sin(W/2) = Opposite/Hypotenuse
sin(W/2) = (35/2)/(30) = 7/12
Using the inverse sine function, we find ...
W/2 = arcsin(7/12) ≈ 35.685°
W = 2×36.684° = 71.37°
W ≈ 71°
<h3>Law of cosines</h3>
The law of cosines tells you ...
w² = u² +v² -2uv·cos(W)
Solving for W gives ...
W = arccos((u² +v² -w²)/(2uv))
W = arccos((30² +30² -35²)/(2·30·30)) = arccos(575/1800) ≈ 71.37°
W ≈ 71°
