Question
The length of one side of a right angled triangle is 4.5 cm and the length of its hypotenuse is 7.5 cm find the length of its third side
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Solution
According to Pythagoras Theorem, in a right angled triangle ABC,
(AB)²+ (BC)² = (AC)²,
where AB and BC are the the two sides of the triangle and AC is the hypotenuse.
So here,
AB = 4.5cm and
AC = 7.5cm
Therefore,
(4.5)² + (BC)² = (7.5)²
(BC)² = (7.5)² - (4.5)²
(BC)² = 56.25 - 20.25
(BC)² = 36
BC= 6
Hence, the length of its third side is 6cm.
(AB)²+ (BC)² = (AC)²,
where AB and BC are the the two sides of the triangle and AC is the hypotenuse.
So here,
AB = 4.5cm and
AC = 7.5cm
Therefore,
(4.5)² + (BC)² = (7.5)²
(BC)² = (7.5)² - (4.5)²
(BC)² = 56.25 - 20.25
(BC)² = 36
BC= 6
Hence, the length of its third side is 6cm.
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