Question

Calculate the ratios in the table using the side lengths that you recorded in Part C.

Answer 1

Explanation:

Answer 2

The ratios are;

`(BC)/(AB) = (3)/(5)`

`(AC)/(AB) = (4)/(5)`

`(BC)/(AC) = (3)/(4)`

`(DE)/(AD) = (3)/(5)`

`(AE)/(AD) = (4)/(5)`

`(DE)/(AE) =(3)/(4)`

Explanation:

Given that the lengths of the sides are;

`\overline {AB}` = 20

`\overline {BC}` = 12

`\overline {AC}` = 16

`\overline {AD}` = 10

`\overline {DE}` = 6

`\overline {AE}` = 8

The ratios are;

`(Length \ opposite \ \angle A)/(Hypothenus) = (BC)/(AB) = (12)/(20) = (3)/(5)`

`(Length \ adjacent\ \angle A)/(Hypothenus) = (AC)/(AB) = (16)/(20) = (4)/(5)`

`(Length \ opposite \ \angle A)/(Length \ adjacent \ \angle A) = (BC)/(AC) = (12)/(16) = (3)/(4)`

`(Length \ opposite \ \angle A)/(Hypothenus) = (DE)/(AD) = (6)/(10) = (3)/(5)`

`(Length \ adjacent\ \angle A)/(Hypothenus) = (AE)/(AD) = (8)/(10) = (4)/(5)`

`(Length \ opposite \ \angle A)/(Length \ adjacent \ \angle A) = (DE)/(AE) = (6)/(8) = (3)/(4)`