Question

In the given right angled triangle, find the hypotenuse.
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Answer 1

13 cm

Step-by-step explanation:

Given -

• Base (B) = 12 cm
• Perpendicular height (P) = 5 cm

To find -

• Hypotenuse (H)

SOLUTION :-

In a right triangle,

H² = B² + P²

$h = \sqrt{ {b}^{2} + {h}^{2} } \\ \\ = > h = \sqrt{ {12}^{2} + {5}^{2} } \\ \\ = > h = \sqrt{144 + 25} \\ \\ = > h = \sqrt{169} \\ \\ = > h = \sqrt{13 \times 13} \\ \\ = > h = \sqrt{ {13}^{2} } \\ \\ = > h = 13cm$

So,

the hypotenuse is 13 cm

hope it helps.

#BeBrainly

Answer 2

As we know that the perpendicular sides of a right angles triangles are Base and Perpendicular.

Let,

Base (B) = 5 cm

Perpendicular (P) = 12 cm

___________________

Use Pythagoras Theorem :

⇒(Hypotenuse)² = (Base)² + (Perpendicular)²

⇒AC² = AB² + BC²

⇒H² = B² + P²

⇒H² = (5)² + (12)²

⇒H² = 25 + 144

⇒H² = 169

⇒H = √(169)

⇒H = 13

∴ Length of Hypotenuse is 13 cm.