Let x be the shorter leg, then the longer is 6x+22 and the hypotenuse is 6x+23.
x² + (6x+22)² = (6x+23)²
x² + 36x² + 264x + 484 = 36x² + 276x + 529
x² - 12x - 45 = 0
(x+3)(x-15)=0
x=-3 or 15. since you can't have negative length discard-3, then the sides are 15, 112, and 113
The truck bed is 40cm .
<h3>What is a right-angled triangle?</h3>
A right-angled triangle is a triangle with one of its angle 90°.
Analysis:
The ramp, the height of the truck bed from ground and the distance of truck bed to the point the ramp makes contact with the ground form a right angle triangle.
So that sin 30 = height of truck bed above ground/length of ramp
sin 30 = height/80
height of the truck = 0.5 x 80 = 40cm
Learn more about right-angled triangle: brainly.com/question/64787
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Answer:
The area is 28.27cm²
Step-by-step explanation:
Answer:
The value of x = 1
Step-by-step explanation:
2x+3 = 5
=> 2x = 5-3
=> 2x = 2
=> x = 2/2
=> x = 1