The length of the hypotenuse of a right-angled triangle is 65 cm. If o

1.	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» align="absmiddle" alt="\underline{\underline{\ORANGE{\textbf{Step - By - Step - Explanation : -}}}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Cunderline%7B%5Cunderline%7B%5Corange%7B%5Ctextbf%7BStep%20-%20By%20-%20Step%20-%20Explanation%20%3A%20-%7D%7D%7D%7D" title="\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 $\large\dag \large { \red{\underline{\bf{Hence }}}}$ $\pink{\textrm{Measure of base is 56cm}}$ ━━━━━━━━━━━━━━━━━━━━━━━━━

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»

align="absmiddle" alt="\underline{\underline{\ORANGE{\textbf{Step - By - Step - Explanation : -}}}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Cunderline%7B%5Cunderline%7B%5Corange%7B%5Ctextbf%7BStep%20-%20By%20-%20Step%20-%20Explanation%20%3A%20-%7D%7D%7D%7D" title="\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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