1
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
Open in App
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.
Suggest Corrections
39
Similar questions