The perpendicular height of a right-angled triangle is 70 mm longer than the base. Find the perimete

Discussion in 'Calculator Requests' started by math_celebrity, Apr 26, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The perpendicular height of a right-angled triangle is 70 mm longer than the base. Find the perimeter of the triangle if its area is 3000.

    • h = b + 70
    • A = 1/2bh = 3000
    Substitute the height equation into the area equation
    1/2b(b + 70) = 3000

    Multiply each side by 2
    b^2 + 70b = 6000

    Subtract 6000 from each side:
    b^2 + 70b - 6000 = 0

    Using our quadratic calculator, we get:
    b = 50 and b = -120

    Since the base cannot be negative, we use b = 50.

    If b = 50, then h = 50 + 70 = 120

    The perimeter is b + h + hypotenuse

    Using the right-triangle calculator, we get hypotenuse = 86.02

    Adding up all 3 for the perimeter: 50 + 70 + 86.02 = 206.02


Share This Page


Related pages


binomial factor calculatordegrees to minutes seconds calculatorinverse finderhow to calculate mod in calculatorhow to calculate the third side of a trianglefr periodic tablepint in litersrise over run calculator for anglethree odd consecutive integers0.375 fractiongoogle analytics certification questions and answersset builder notation calculatorsqrt calculator simplifysquare root of 17 in radical formsolve and graph compound inequalities calculatorgraph inequalities calculatormaths permutationformula for sinking fund calculationprime power factorization calculatorsolve for x calculator wolframcalculator rootsmultiplying expressions calculatorwriting equations calculatorhit a flywhat element is mn in the periodic tablemultiples of 234factor each polynomial completely calculatorangle sum of heptagonparametric equation calculatorcartesian coordinates to polar coordinateslotto probability calculatorquarts to ouncespecial right triangles 45 45 90 formulastatistics distribution calculatorconvert 168 to binaryradical numbers calculatoryards in a furlongsimplifying rational expressions with exponents calculatorhighest common factor and lowest common factorperform the division calculatorcalculate per day salaryprobability of card handslength of a triangle calculatorcentripetal acceleration calculatorrational fractional exponentstrigonometry with bearingsverbal expression to algebraic expression worksheetcube formula factoringbetting odds percentage calculatormorse code dash dot dashbinomial division calculatoraccounting rate of return calculationbingo board generatorcalories bacon slicerational functions calculatorintegers vs rational numbersbinomial model calculatorhour to salary convertersimplifying numbers with rational exponentsslope of equation calculatordepreciation ddbsquare root of 11 in radical formdice and probabilityoctagon geometry calculatordividing and multiplying fractions calculatorexample of chinese remainder theoremhow to solve complementary and supplementary angleshow to solve algebraic expressions with variablestangent of an angle calculatormilitary time converter minutesbest cribbage app