Question

9. The hypotenuse of a right triangle is 13 cm.
The difference between the lengths of the
other two sides of the two sides is 7 cm. Find
the length of other two sides.
(Non-anonymous question o)
(3 Points)
Upload file​

Answer 1

Answer:

A=30m²

Step-by-step explanation:

Assuming x represents the length of the first side.

Use Pythagorean theorem to solve:

a² + b² = c²

x² + (x+7)² = 13²

x² + x² + 14x + 49 = 169

2x² + 14x - 120 = 0

Solve the quadratic equation using the quadratic formula.

At the end, you will get side lengths of #(-14 ± 34) / 4, or -1² and 5.

Since a negative triangle length is impossible, 5 is the value of x and 5 + 7 is the value of x + 7, which makes 12.

The formula for area of a right triangle is A  

⇒ A  

⇒ A  

∴ A = 30 cm²

Hope This Helps :)

PLZ MARK ME AS A BRAINIST ❤❤❤❤