Question

The length of the hypotenuse of a right-angled triangle is 65 cm. If one of its perpendicular sides measures 33 cm, find the length of the other.

Answer 1

$\underline{\underline{\orange{\textbf{Step - By - Step - Explanation : -}}}}$

To Find :

• measure of Length of base side

Solution :

• Length of hypotenuse = 65cm
• Measure of perpendicular = 33cm

By using Pythagoras theorem :

Hypotenuse ² = base² + perpendicular ²

⟶ 65² = b² + 33²

⟶ 4225 = 1089 + b²

⟶ b² = 4225 - 1089

⟶ b² = 3136

⟶ b = √3136

⟶ b = 56cm

$\large\dag \large { \red{\underline{\bf{Hence }}}}$

$\pink{\textrm{Measure of base is 56cm}}$

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Answer 2

Answer:

(hypotenuse)^2= (base)^2+(altitude)^2

(65)^2=(base)^2+(33)^2

4225=base^2+1089

4225-1089=base ^2

base=√3136

base=56