Pythagorean theorem proof Quiz 1

Question 1

What is $$\sqrt{5}$$ times the hypotenuse of a right-angled triangle if its base is $$8	ext{ cm}$$ and perpendicular is $$	ext{4 cm}$$.

Accepted Answer

$$	ext{20 cm}$$

Answer

$$	ext{10 cm}$$

Answer

$$	ext{4}\sqrt{5}	ext{ cm}$$

Answer

$$2\sqrt{5}	ext{ cm}$$

Question 2

What is the area of the rectangle given below. $$ \ $$<img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/78476d82-11ac-40ab-aa0b-bc19bb7cac928136696946309946155.png"/>

Accepted Answer

$$8\sqrt{23}$$

Answer

$$2\sqrt{23}$$

Answer

$$6\sqrt{29}$$

Answer

$$4\sqrt{29}$$

Question 3

Find $$\dfrac{BC}{DF} \ $$<img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/a78df0e6-e151-4898-a987-dcea07082f067801526064109370692.png"/>

Accepted Answer

$$\sqrt{\dfrac{13}{41}}$$

Answer

$$\sqrt{\dfrac{11}{13}}$$

Answer

$$\sqrt{\dfrac{21}{11}}$$

Answer

$$\sqrt{\dfrac{19}{37}}$$

Question 4

A man is climbing up a ladder of $$13	ext{ m}$$ which is $$	ext{5 m}$$ away from the base of post A. Another man is climbing up a $$	ext{10 m}$$ long ladder which is $$	ext{6 m}$$ away from the base of a post B. Which is longer and by how much?

Accepted Answer

$$	ext{post A,4 m}$$

Answer

$$	ext{post A,6 m}$$

Answer

$$	ext{post B,8 m}$$

Answer

$$	ext{post B,6 m}$$

Question 5

Find BC $$ \ $$<img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/378d2e04-a4a1-4827-98a1-19e952cbff277510506965893153951.png"/>

Accepted Answer

$$\sqrt{85}$$

Answer

$$\sqrt{46}$$

Answer

$$\sqrt{53}$$

Answer

$$\sqrt{91}$$