All categories

4 years ago

The square ABCD has side length 20cm. E is the midpoint.

Mathematics

2 answers:

Verizon [17]4 years ago

6 0

Answer:

22.4 cm

Step-by-step explanation:

AB = 20 cm, BE = (1/2) * 20 cm = 10 cm

By pythagorous theorem,

AE = $\sqrt{20^{2} + 10^{2}}$ cm = $10$ $\sqrt{3}$ cm = 22.4 cm

monitta4 years ago

5 0

The length of AE is 22.36 cm

Step-by-step explanation:

Given,

In the fig: AB = 20 cm

E is the mid point of BC.

So, BE = 10 cm

To find the length of AD

Here,

ΔABE is a right angle triangle.

So,

$AB^{2} +BE^{2} =AE^{2}$

Now, putting the values of AB and BE we get,

$20^{2} +10^{2} =AE^{2}$

or, $AE^{2}$ = 400+100

or, AE = $\sqrt{500}$ = 10 $\sqrt{5}$

= 10×2.236 = 22.36 (approx)

You might be interested in

Jene has $300 in her bank account on Monday she made a withdrawal of $20 represents this transaction as a manager

Mama L [17]

Answer:

She would have $280 left

Step-by-step explanation:

if this is what u were asking for and wanted pls give brainliest

3 0

3 years ago

A parallelogram with a diagonal drawn through it is shown below.

chubhunter [2.5K]

Arlen already established that ΔRST and ΔUTS has two pairs of congruent angles and a pair of congruent included sides, which meet the ASA Congruence Criterion. Therefore:

the missing statement in the proof is: ΔRST ≅ ΔUTS
the missing reason in the proof is: ASA Congruence Criterion

<h3>What is the ASA Congruence Criterion?</h3>

The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.

Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:

Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.

A pair of congruent included sides - ST ≅ S.

These satisfy the ASA Congruence Criterion. Therefore: