Match each retirement planes to it's description
2 answers:
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Answer:
The required answer is
Therefore the number in green box should be 7.
Step-by-step explanation:
Given:
AB = 7√2
AD = a , BD = b , DC = c , AC = d
∠B = 45°, ∠C = 30°
To Find:
c = ?
Solution:
In Right Angle Triangle ABD Sine identity we have
Substituting the values we get
Now in Triangle ADC Tangent identity we have
Substituting the values we get
The required answer is
<u>Given</u>:
Given that the bases of the trapezoid are 21 and 27.
The midsegment of the trapezoid is 5x - 1.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trapezoid midsegment theorem.
Applying the theorem, we have;
where b₁ and b₂ are the bases of the trapezoid.
Substituting Midsegment = 5x - 1, b₁ = 21 and b₂ = 27, we get;
Multiplying both sides of the equation by 2, we have;
Simplifying, we have;
Adding both sides of the equation by 2, we get;
Dividing both sides of the equation by 10, we have;
Thus, the value of x is 5.
Hello!
It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.
We can set the length of a leg as an unknown variable .
Remember that it is the whole term being squared, meaning that it'll simplify to
, not
.
This means we can plug back in to find the sides.
The hypotenuse would be , or 4.2.
And the legs would be 1.4 and 4, respectively.
Hope this helps!