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3 years ago

Tina plans to make wooden frames to put her two triangular art pieces in.

Mathematics

2 answers:

telo118 [61]3 years ago

7 0

Answer: 54 in.

Step-by-step explanation: So, the problem does something a little sneaky, and that is they ask for the TOTAL amount of wood needed for triangle DFG. And to find that, we simply have to multiply side AC by 3 to get side DG. We do this because triangle ABC is 3 times as small as triangle DFG. Then, add your side DG that you just got, (21) to side FG and FD to get the total amount of wood needed, 54 in.

Lena [83]3 years ago

6 0

Answer:

54 in

Step-by-step explanation:

I took test

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2 years ago

Find the length of the leg a of a right triangle with leg length b = 21.5 inches and the hypotenuse c = 31.9 inches. Use a calcu

mylen [45]

The length of the leg a of the right triangle is obtained by applying the Pythagorean theorem which is given as:

$\text{opposite}^2+adjacent^2=hypothenus^2$

Thus, we have that:

$a^2+b^2=c^2$

Given that b = 21.5 inches and c = 31.9 inches, we now have:

$a^2+(21.5)^2=(31.9^2)$ $a^2+462.25=1017.61$ $a^2=1017.61-462.25$ $a^2=555.36$ $\begin{gathered} a=\sqrt[]{555.36}=23.57 \\ \Rightarrow a=23.6\text{ inches (to one decimal place)} \end{gathered}$

Therefore, the length of the leg a of the right triangle is 23.6 inches

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