For the right triangles below, find the exact values of the side lengths b and d.
1 answer:
Answer:
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below;
According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"
According to SOH, CAH, TOA;
tanθ = opposite/adjacent (using TOA)
Given;
θ = 30°, opposite = 5 and adjacent = b
tan30° = 5/b
b = 5/tan30°
b = 5/(1/√3)
b = 5*√3/1
b = 5√3
According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7
Using SOH;
sinθ = opposite/hypotenuse
Given;
θ = 45°, opposite = d and adjacent = 7
sin45° = d/7
d = 7sin45°
d = 7(1/√2)
d = 7/√2
Rationalize 7/√2
= 7/√2*√2/√2
=7√2/2
Hence the value of d is 7√2/2
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Answer:
Step-by-step explanation:
To find the distance, we first do B - A, where B is (-6, 7) and A is (-1, 1):
(-6, 7) - (-1, 1) = (-6+1, 7-1) = (-5, 6)
Imagine it as a triangle, where the hypotenuse is the distance, and -5 and 6 are the lengths of the sides.
To find the hypotenuse (Pythagorean Theorem):
The answer is the square root of 61.
Answer:
Step-by-step explanation:
Co-ordinates of point A = ( -7 , 1 )
Co-ordinates of point M = ( -2 , 2 )
Let the co-ordinates of point B be ( x , y )
A ( -7 , 1 ) ( x1 , y1 )
B ( x , y ) ( x2 , y2 )
Now,
Midpoint =
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Finding the value of x :
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Do cross multiplication
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Now, finding the value of y
⇒
Do cross multiplication
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⇒
⇒
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Hence, The co-ordinates of point B = ( 3 , 3 )
Hope I helped!
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