Answer:
27/50 is the fraction.
Step-by-step explanation:
Answers:
- x = 4
- AB = 36
- BC = 36
- AC = 36
All three sides are 36 units long.
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Explanation:
Triangle ABC is equilateral, so all three sides are the same length.
Pick any two of those sides, set them equal to each other, and solve for x
AB = BC
8x+4 = 11x-8
8x-11x = -8-4
-3x = -12
x = -12/(-3)
x = 4
Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).
- AB = 8x+4 = 8*4+4 = 32+4 = 36
- BC = 11x-8 = 11*4-8 = 44-8 = 36
- AC = 9x = 9*4 = 36
We get the same value for the three side lengths, so this confirms we have the correct x value.
Answer:
The value of the side PS is 26 approx.
Step-by-step explanation:
In this question we have two right triangles. Triangle PQR and Triangle PQS.
Where S is some point on the line segment QR.
Given:
PR = 20
SR = 11
QS = 5
We know that QR = QS + SR
QR = 11 + 5
QR = 16
Now triangle PQR has one unknown side PQ which in its base.
Finding PQ:
Using Pythagoras theorem for the right angled triangle PQR.
PR² = PQ² + QR²
PQ = √(PR² - QR²)
PQ = √(20²+16²)
PQ = √656
PQ = 4√41
Now for right angled triangle PQS, PS is unknown which is actually the hypotenuse of the right angled triangle.
Finding PS:
Using Pythagoras theorem, we have:
PS² = PQ² + QS²
PS² = 656 + 25
PS² = 681
PS = 26.09
PS = 26
Answer:
It 20.54 round to the nearest tenth which is 20.5
Step-by-step explanation:
