5. The altitude of a right triangle is 7 cm less than its base. If th
the other two sides.
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Explanation:
length of base is 7 cm
and altitude be ( x-7) cm
Hypotenuse is 13cm .. (given)
Therefore , By Pythagoras theorem Base ² + Perpendicular ² = Hypotenuse ²
→ x² + (x-7)² = 13²
→ x² + (x² - 49 + 14x ) = 169
→ 2x² - 14x + 49 = 169
→ 2x² - 14x - 120 = 0
→ x² -7x -60 = 0
→ x² -12x + 5x -60 = 0
→ x(x-12)+5(x-12) =0
→ (x-12) (x+5) = 0
x = 12 , -5
base (x) = 12 cm
base (x) = 12 cm and altitude (x -7) = 12-7 = 5cm
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