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3 years ago

Find the product of 503×6

Mathematics

1 answer:

Mashutka [201]3 years ago

8 0

3018

Mentally,
503 = 500 + 3
500 times 6 = 3000
3 times 6 = 18
Add them up:
3018

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Step-by-step explanation:

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<h3>Let's understand the concept:-</h3>

Here angle B is 90°
So $\triangle ABC$ and $\triangle ABD$ Are right angled triangle
So we use Pythagoras thereon for solution

<h3>Required Answer:-</h3>

First in triangle ABC

perpendicular=p=8cm

Hypontenuse =h =10cm

We need to find base=b

According to Pythagoras thereon

${\boxed{\sf b^2=h^2-p^2}}$

Substitutethe values

$\longrightarrow$ $\sf b^2=10^2-p^2$

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$\longrightarrow$ $\sf b={\sqrt{100-64}}$

$\longrightarrow$ $\bf b={\sqrt {36}}$

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Now in $\triangle ABD$

Perpendicular=p=8cm

Base =b=15cm

We need to find Hypontenuse =AD(x)

According to Pythagoras thereon

${\boxed {\sf h^2=p^2+b^2}}$

Substitute the values

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$\longrightarrow$ $\sf h={\sqrt {8^2+15^2}}$

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$\longrightarrow$ $\sf h={\sqrt {289}}$

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