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3 years ago

Square is a rhombus. True or false? Explain your answer.

Mathematics

2 answers:

andreyandreev [35.5K]3 years ago

7 0

Answer:

True

Step-by-step explanation:

The defining property of a rhombus is that it possesses equal side lengths.

Now, we know a square is defined by its equal side lengths and 4 right angles.

Since a square possesses the characteristics of a rhombus, it is a true statement that <u>a square is a rhombus</u>.

Jlenok [28]3 years ago

5 0

<h2><u>Parallelograms</u></h2>

<h3>Square is a rhombus.</h3>

<h3>True or false? Explain your answer.</h3>

<u>Answer:</u>

Square is <u>always</u> a rhombus.

<u>Explanation:</u>

Although square is a rhombus, why? The property of a square has <u>four cong</u><u>ruent </u><u>sides with four congruent angles</u>. While rhombus has only <u>four congruent sides</u>. Their only difference is their <u>angles</u>. Not only their similarities are all <u>sides congruent</u>, but they also <u>have all properties of a parallelogram</u>.

Wxndy~~

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3 years ago

In ΔJKL, k = 9.6 cm, l = 2.7 cm and ∠J=43°. Find ∠L, to the nearest 10th of a degree.

Bogdan [553]

Answer:

L = 10.64°

Step-by-step explanation:

From the given information:

In triangle JKL;

line k = 9.6 cm

line l = 2.7 cm; &

angle J = 43°

we are to find angle L = ???

We can use the sine rule to determine angle L:

i.e

$\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}$

Using Pythagoras rule to find j

i,e

j² = k² + l²

j² = 9.6²+ 2.7²

j² = 92.16 + 7.29

j² = 99.45

$j = \sqrt{99.45}$

j = 9.97

∴

$\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}$

${9.97 \times Sin (L ) = (2.7 \times Sin \ 43)$

$= Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ = Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 } \\ \\ = Sin \ L = 0.18466 \\ \\ L = Sin^{-1} (0.18466) \\ \\ L = 10.64 ^0$