The wording of this problem indicates that there was an illustration. Could you possibly share that illustration?
Working without an illustration:
If tan theta = 3, then tan theta = opp/adj = 3/1. This tells us that the opp side is 3 times as long as is the adj. side. Let x be the shorter side, i. e., let x represent the adjacent side; then y is the longer side and represents the opposite side.
Then y = 3x (the opp side is 3x the adj side in length).
Applying the Pyth. Thm. a^2 + b^2 = c^2,
x^2 + (3x)^2 = hyp^2 = (25 cm.)^2
So x^2 + 9x^2 = (625 cm^2)
10x^2 = 625 cm^2, or x^2 = (625 cm^2) / 10 = 62.5 cm^2
x = 7.91 cm. Therefore, y = 3(7.91) = 23.72 cm.
We were supposed to round off these answers to the nearest 10th cm.
Therefore, x = 7.9 cm and y = 23.7 cm
Would that be A, B, C or D?
Bro i need major help right now too but um idek what to do but good luck
3x - 1 = 9x + 2
3x (-3x) - 1 (-2) = 9x (-3x) + 2 (-2)
-3 = 6x
-3/6 = 6x/6
-1/2 = x
hope thsi helps
4. The point Z is the orthocenter of the triangle.
5. The length of GZ is of 9 units.
6. The length of OT is of 9.6 units.
<h3>What is the orthocenter of a triangle?</h3>
The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle.
Hence, from the triangle given in the end of the answer, point Z is the orthocenter of the triangle.
For the midpoints connected through the orthocenter, the orthocenter is the midpoint of these segments, hence:
- The length of segment GZ is obtained as follows: GZ = 0.5 GU = 9 units. -> As z is the midpoint of the segment.
- The length of segment OT is obtained as follows: OT = 2ZT = 2 x 4.8 = 9.6 units.
<h3>Missing Information</h3>
The complete problem is given by the image at the end of the answer.
More can be learned about the orthocenter of a triangle at brainly.com/question/1597286
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Answer:
-243
Step-by-step explanation:
{3׳ykx-7 incluye