Question

Find the missing length of the triangle.

Answer 1

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

• Find c.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

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.