The length of the base of a triangle is twice its height. if the area of the triangle is 196 square kilometers, find the height .
2 answers:
Hey user! your answer is here.. ATQ, the length of the base of the triangle is twice it's height. let the height of the triangle be x. therefore base of the triangle is 2x. given area of the triangle = 196km² ==> 1/2 × b × h = 196km² ==> 1/2 × 2x × x = 196km² ==> x × x = 196km² ==> x² = 196km² ==> x = √196 ==> x = 14 hence, height of the triangle = x = 14km base of the triangle = 2x = 2 × 14 = 28km VERIFICATION :- area of the triangle = 1/2 × b × h = 1/2 × 14 × 28 = 7 × 28 = 196km² hence verified.. cheers!!
Area = 1/2 x base x height Let the height be x. Height = x Base = 2x Area of triangle = 1/2 x base x heght Plug base and height into the variables: (1/2)(2x)(x) = 196 Combine like terms: x² = 196 Square root both sides: x = 14 Find Base and height: Base = x = 14 km Height = 2x = 2(14) = 28 kmAnswer: Height = 28km
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