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

is a fraction a monomialstress calculator physicscurve equation calculatorreflexive property of multiplicationcube root of 150equation of a perpendicular line calculatoradwords fundamental exam questionssynthetic division calculator 3rd degreehow to do permutations on a calculatoradding subtracting integers calculatormilliliters to pintsaverage iq and standard deviationcalculator for balancing equations3 hand cribbageprime factorization 110distributive property with integerscenter and radius of circle calculatorcommutative property of equalitypoisson calculatormonomial expressionworld scramblervector projection calculatorsimplify calculator square rootwhat is substitution in algebrakinds of triangles according to sidesfinding positive and negative coterminal anglessolve each system by substitution calculatorverbal phrase to algebraic expressionprime factorization of 288factor 4x 2-1sumplementary anglesdivide polynomials by monomials calculatorset builder notation and interval notationhighest common factor lowest common multipledetermining coterminal anglesadding and subtracting radical calculatorwrite the equation of a circle with center and radius100th fibonacci numberprobability of success calculatortrigonometric ratios calculator onlinepresent value growing annuityrational number checkerwhat is ce on the periodic tableoperation of monomialsright tailed test calculatorexpanded notation decimalsy ax2 bx c calculator5 gallons in quartssystem of substitution calculatormodular arithmetic congruenceirr on financial calculatormorse code dot dash dotequilateral triangle calculatormath word problem solver algebramultiply or divide as indicatedsimplify fractions with whole numbers calculatorfocal length equation lenssolve variable calculatorannuity table calculatorfraction algebra solverformula for arithmetic serieshow to use interval notationnormal approximation formulaapr to apy calculatorfind margin of error given confidence interval calculatorbinomial option pricingpolar to cartesiansimplify ratios calculatorchebyshev rule calculatorgeometric cdfsum of years digits calculatorsimplifying exponents calculator fractions8000 grams to poundssimplifying radical expressions calculatortest hypothesis calculator