Question

Write an equation showing the relationship between the lengths of the three sides of a right triangle.​

Answer 1

Below

Explanation:

First triangle)

This triangle is a right one so we will apply the pythagorian theorem.

● 25 is the hypotenus

● 25^2 = b^2 + 24^2

■■■■■■■■■■■■■■■■■■■■■■■■■■

Seconde triangle)

Again it's a right triangle

x is the hypotenus.

● x^2 = 12^2 +5^2

● 12^2 = x^2-5^2

■■■■■■■■■■■■■■■■■■■■■■■■■■

This is a right triangle

AC is the hypotenus.

● AC^2 = BC^2 + BA^2

Notice that: BC = BE+EC and BA=BD+DA

● AC^2 = (BE+EC)^2 + (BD+DA)^2

Answer 2

Answer: 2) b = 7 3) x =
`√(119)`

Explanation:

Use Pythagorean Theorem: (leg₁)² + (leg₂)² = hypotenuse²

2) b² + 24² = 25²

b² + 576 = 625

b² = 49

`√(b^2)=√(49)`

b = 7

3) 5² + x² = 12²

25 + x² = 144

x² = 119

`√(x^2)=√(119)`

`x=√(119)`