Mathematics: Find the length of both of the unknown sides in the triangle shown here. Give your answer correct to the nearest metre. [5 marks]

Add 2 to both sides and x will equal 2...

Find the length of both of the unknown sides in

Ответ:

chayaharroch03

28.01.2022

Mathematics

(x+11)^2 = (x+3)^2 +16^2

And if we solve this equation for x we got:

x^2 +22x +121 = x^2 +6x +9 +256

We can cancel x^2 in both sides and we have this:

22x -6x= 256+9-121 =144

And then we got:

16 x= 144

$x =\frac{144}{16}= 9$

And then the length of the sides are 9+11= 20 m for the hypothenuse, 16 for the adjacent side and 9+3 = 12m for the last side.

Lenght of the smaller unknown side: 12m

Lenght of the larger unknown side: 20m

Step-by-step explanation:

For this case we have a right triangle and we can use the Pythagoras Theorem and using the info given by the triangle we can set up the following equation:

(x+11)^2 = (x+3)^2 +16^2

And if we solve this equation for x we got:

x^2 +22x +121 = x^2 +6x +9 +256

We can cancel x^2 in both sides and we have this:

22x -6x= 256+9-121 =144

And then we got:

16 x= 144

$x =\frac{144}{16}= 9$

And then the length of the sides are 9+11= 20 m for the hypothenuse, 16 for the adjacent side and 9+3 = 12m for the last side side.

Lenght of the smaller unknown side: 12m

Lenght of the larger unknown side: 20m

0,0(0 оценок)

Find the length of both of the unknown sides in the triangle shown here. Give your answer correct to the nearest metre. [5 marks]

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question