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[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

  • Find c.

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

To solve these type of problems you need to use the pythagoras theorem ⇨ Hypotenuse² = Base² + Altitude².

Here,

  • Altitude = 21 km.
  • Base = 20 km
  • Hypotenuse = c.

Now, let's solve for c.

Hypotenuse² = Base² + Altitude²

c² = (20)² + (21)²

c² = 400 + 441

c² = 841

c = √841

c = 29.

So, the value of c is 29 km.

NOTE :-

  • Pythagoras theorem can be used only in the cases of right-angled triangles. Here, it's given that the triangle is right angled so we can use this theorem.
AikoMikan

Hey there!

Solve using pythagoras theorem (it's given that is triangle is right angled. Pythagoras theorem only works in the case of right triangles) ⇨ Hypotenuse² = Base² + Altitude ²

Here,

Base = 20 km

Altitude = 21 km

Hypotenuse = c

Hypotenuse² = Base² + Altitude²

c² = 20² + 21²

c² = 400 + 441

c² = 841

c = √841

c = 29 km

Hope it helps ya!

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