Question

altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides....​

Answer 1

Let base of right triangle = x CM.

Altitude of triangle =x-7cm

Answer 2

Answer:

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Explanation:

Let the base of the triangle then altitude of the triangle

Hypotenuse = 13 cm

By Pythagoras theorem

(Hypotenuse) 2 = (Base)2 + (altitude)2

begin mathsize 12px style open parentheses straight x minus 12 close parentheses open parentheses straight x plus 5 close parentheses equals 0

straight x equals 12 space space space or space space space space straight x equals negative 5 end style

Length can not be negative hence we choose x = 12 cm

Altitude = x - 7 = 12 - 7 = 5 cm