Question

Answer this pls. its all about the pythagorean theorem thanks​

Answer 1

Answer:

The answer is below

Step-by-step explanation:

A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.

In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.

a) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 5(3) = 15

u² = h² + b² = 15 + 3² = 24

u = √24

b) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 4(2) = 8

h = √8

c) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 7(7) = 49

h = 7

u² = h² + b² = 7² + 7² = 98

u = √98

t² = h² + a² = 7² + 7²

t = √98