Answer:
x ≈ 11.1
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos42° = = ( multiply both sides by 15 )
15 × cos42° = x, then
x ≈ 11.1 ( to the nearest tenth )
The other 2 angles of given right angles are 61.93° and 28.072°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.
Step-by-step explanation:
The given is,
Right angled triangle,
Side lengths are 8, 15, and 17
Step:1
The given triangle is right angle triangle by the converse of Pythagorean theorem, so the trigonometric ratio,
Ref the attachment,
For angle a,
...................................................(1)
Where, Opp - 8
Hyp - 17
From equation (1),
= 0.470588
(0.470588)
a = 28.072°
For angle b,
...................................................(1)
Where, Opp - 15
Hyp - 17
From equation (1),
= 0.882352
(0.882352)
b = 61.93°
Step:2
Check for solution for right angle triangle,
90 ° = Other 2 angles
90 ° = a + b
90 ° = 28.072° + 61.93°
90 ° = 90 °
Result:
The other 2 angles of given right angles are 61.93° and 28.07°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.
Answer:
y=0.3
Step-by-step explanation:
Hi!
So we need to know how much smaller ΔDEF is than ΔABC.
See line DF compared to AC. PQ is 1.5 times smaller than DF. That means ΔDEF is 1.5 times smaller than ΔABC.
So to find the length of DE, divide AB by 1.5.
27/1.5 = 18
x=18
The length of DE is 18
Hope this helps! :)
-Peredhel
Answer: 10
Step-by-step explanation:
The 8 in 5, 829 is representing 800 and the 487 it represents 80,
80 * 10 = 800