Question

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Answer 1

Answer:

24cm

Step-by-step explanation:

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Answer 2

Answer:

⊹Formula used:

$Hʏᴘᴏ = \sqrt{(ʙᴀsᴇ)^{2} } + (ʜᴇɪɢʜᴛ) ^{2}$

⊹Solution:

At first,

We need to find the length of AO.

Base= 5cm

Hypo= 13cm

$ʜᴇɪɢʜᴛ = \sqrt{( {ʜʏᴘᴏ})^{2} - ( {ʙᴀsᴇ})^{2} }$

$➺ʜᴇɪɢʜᴛ = \sqrt{(13)^{2} - (5) ^{2} }$

$➺ʜᴇɪɢʜᴛ = \sqrt{169 - 25}$

$➺ʜᴇɪɢʜᴛ = \sqrt{144}$

$➺ʜᴇɪɢʜᴛ = 12cm$

Therefore, The height is 12cm.

Now, we need to find OC.

$➺ʙᴀsᴇ = \sqrt{(15)^{2} - (12) ^{2} }$

$➺ʙᴀsᴇ = \sqrt{225 - 144}$

$➺ʙᴀsᴇ = \sqrt{81}$

$➺ʙᴀsᴇ = 9cm$

Thus, The base is 9cm.

Now, BC = BO+OC

BC= (5+9)cm

BC= 14cm

Therefore, The length of BC is 14cm.