The cosine of an acute angle in a right triangle <span> is the ratio of the length of the adjacent side to the length of the hypotenuse.
</span>If cos(x)=1/2, then:
the adjacent side = 1
the hypotenuse = 2
<span>By the Pythagorean theorem:
</span>the opposite side = √(2² - 1²) = √(4-1) = √3
The sine<span> of an angle is the ratio of the length of the opposite </span>side<span> to the length of the hypotenuse, so:
</span>sin(x) = opposite/hypotenuse = √3/2
The tangent<span> of an angle is the ratio of the length of the opposite side to the length of the adjacent side:
</span>
tan(x) = opposite/adjacent =√3/1 = √3
They have the same slope, but g(x) intercepts the y axis higher.
Answer:
15/7
Step-by-step explanation:
8/7 + 7/7 = 8+7 = 15
Therefore, the sum of 8/7 + 7/7 is equals to 15/7
9514 1404 393
Answer:
4.1
Step-by-step explanation:
x is the short leg of a right triangle with hypotenuse 8.8 cm and longer leg 7.8 cm. Its measure is found using the Pythagorean theorem:
x^2 +7.8^2 = 8.8^2
x^2 = 77.44 -60.84 = 16.60
x = √16.6
x ≈ 4.1
Answer:
ratio of equal side to its base = 3:2
let the equal side and base side be 2x and 3x
AB=AC= 3x, BC=2x
now,
3x+3x+2x=32
8x = 32
x=4
AB=AC= 3*4=12
BC= 2*4=8
Area of isosceles traingle =A = ½[√(a² − b² ⁄4) × b =32√2cm
Step-by-step explanation: