Right triangle eq2

Hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the second leg. Determine the circumference and area of a triangle.

Correct result:

o =  -2 cm
S =  6 cm²

Solution:

$$\begin{gathered} c=9+a \\ c=8+b \\ {c}^2=a^2+b^2 \\ {c}^2=(c-9{)}^2+(c-8{)}^2 \\ {5}^2=(5-9{)}^2+(5-8{)}^2 \\ c>9 \\ c=c_2=5 \\ a=c-9=5-9=-4 \\ b=c-8=5-8=-3 \\ o=a+b+c=(-4)+(-3)+5=-2\text{ cm} \end{gathered}$$

Checkout calculation with our calculator of quadratic equations.

$S=a\cdot b\mathrm{/}2=(-4)\cdot (-3)\mathrm{/}2=6{\text{cm}}^2$

Try another example

Showing 0 comments:

Next similar math problems:

• Equilateral triangle
  Calculate the area of an equilateral triangle with circumference 72cm.
• Bamboo
  Bamboo high 32 feet was at a certain height broken by the wind so the bamboo top reached the ground at a distance of 16 feet from the trunk. At what height from the ground was the bamboo broken?
• Center traverse
  It is true that the middle traverse bisects the triangle?
• Fifth of the number
  The fifth of the number is by 24 less than that number. What is the number?
• Equation
  Equation ? has one root x₁ = 8. Determine the coefficient b and the second root x₂.
• Roots
  Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
• Discriminant
  Determine the discriminant of the equation: ?
• Algebra
  X+y=5, find xy (find the product of x and y if x+y = 5)
• Expression with powers
  If x-1/x=5, find the value of x⁴+1/x⁴
• Evaluation of expressions
  If a²-3a+1=0, find (i)a²+1/a² (ii) a³+1/a³
• Holidays - on pool
  Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?
• Solve 3
  Solve quadratic equation: (6n+1) (4n-1) = 3n²
• Equation 23
  Find value of unknown x in equation: x+3/x+1=5 (problem finding x)
• Quadratic equation
  Find the roots of the quadratic equation: 3x²-4x + (-4) = 0.
• The product
  The product of a number plus that number and its inverse is two and one-half. What is the inverse of this number
• Square root 2
  If the square root of 3m² +22 and -x = 0, and x=7, what is m?
• Fraction
  For what x expression ? equals zero?