IDNStudy.com, ang iyong mapagkukunan para sa maaasahan at pangkomunidad na mga sagot. Magtanong ng anumang bagay at makatanggap ng mga maalam na sagot mula sa aming komunidad ng mga propesyonal.

One leg of a right triagle is 2 cm more than the other . The hypotenuse is 10 cm . Find the measure of two legs

Sagot :

let 'x' be the length of one leg
    'x + 2' be the length of the other leg
remember that it is a right triangle then we may use pythagorean theorem
c² = a² + b²
where c is the hypotenuse and a & b are the legs
10² = x² + (x + 2)²
100 = x² + x² + 4x + 4
2x² + 4x +4 - 100 = 0
2x² + 4x - 96 = 0
dividing the whole equation with 2
x² + 2x - 48 = 0
(x+8)(x-6) = 0
x = -8,   x = 6
taking the positive values you'll have:
a = 6, b =8