HelpMePls123RE
contestada

A right triangle is in the diagram below. The area of two squares is shown. What is the area of the third square?
A. 21 ft ²
B. 35 ft²
C. 441 ft ²
D. 1241 ft ²

A right triangle is in the diagram below The area of two squares is shown What is the area of the third square A 21 ft B 35 ft C 441 ft D 1241 ft class=

Respuesta :

joshleemelendez

Answer:

c = sqRoot(841) = 29

b = sqRoot(400) = 20

a = sqRoot(c^2 - b^2)

a = sqRoot(29^2) - 20^2) = sqRoot(841-400) = sqRoiot(441)  =21

Area of Third Square = 21 x 21 = 441 sq ft.

Answer is C

Step-by-step explanation:

akposevictor

Applying the knowledge of Pythagorean Theorem and area of a square, the area of the third square is calculated as: C. 441 ft²

Recall:

  • The area of a square can be calculated using the formula: s², where s is the side length of the square.
  • To solve for any side of a right triangle, the Pythagorean Theorem is applied given that c is the hypotenuse (longest side) and a and b are the lengths of the other sides, thus: c² = a² + b²

Thus, find the side length of each square with sides c and b respectively.

841 = c²

√841 = c

c = 29 ft

400 = b²

√400 = b

b = 20 ft

Find a using the Pythagorean Theorem:

a² = c² - b²

a² = 841 - 400

a = √441

a = 21

Area of the third square = a² = 441 ft² (Option C)

Learn more about Pythagorean Theorem on:

https://brainly.com/question/22544679