5
Year 10 Mathematics - 2020
Anabelle Harkin Strain
Class Notes
Homework
Homes
TA QUE
1C Que
Answer
1D Sol
1D Qui
1 Ines
Exercis
3x + 4y = 7+2x+4)=6
Exercs
IG Fine
Exercis
TH
Exercis
Week
Exercis
Work
Sim

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

you didn't give an question you just gave us a statement