Question

Plz help i have to submit in 20 minutes !!!

Answer 1

Explanation:

1. a). Hypotenuse² = (Leg 1)² + (Leg 2)²

h² = 10² + 24²

h = √676

h = 26

(b). Hypotenuse² = (Leg 1)² + (Leg 2)²

(25)² = (15)² + (leg 2)²

Leg 2 = √(625 - 225)

= √400

= 20

(c). Hypotenuse² = (Leg 1)² + (Leg 2)²

h² = 4² + 6²

h = √(16 + 36)

h = √52

h = 2√13

(d). Hypotenuse² = (Leg 1)² + (Leg 2)²

(14)² = (Leg 1)² + 7²

Leg 1 = √(196 - 49)

= √147

= 7√3

2). Hypotenuse² = (Leg 1)² + (Leg 2)²

Leg 1 = leg 2 = 7 units [Since, triangle is an isosceles triangle]

h² = 7² + 7²

h = √98

h = 7√2

Option (1) is the correct option.

3). Hypotenuse² = (Leg 1)² + (Leg 2)²

(26)² = (Leg 1)² + (10)²

Leg 1 = √(676 - 100) = 24

Area of a right triangle =
`(1)/(2)(\text{Leg 1})(\text{Leg 2})`

=
`(1)/(2)(24)(10)`

= 120 square units

Option (3) is the correct option.