Answered

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10 cm
х
15 cm
A) 5V 13 cm
C) 5V 14 cm
B) 5V5 cm
D) 5 cm

10 Cm Х 15 Cm A 5V 13 Cm C 5V 14 Cm B 5V5 Cm D 5 Cm class=

Sagot :

Answer:

[tex]option \: b) \: \: \: 5 \sqrt{5} cm[/tex]

Step-by-step explanation:

Given,

Base of the triangle = 10

Hypotenuse of the triangle = 15

So, according to Pythagoras Theorem,

[tex] {c}^{2} - {a}^{2} = {b}^{2} [/tex]

[tex] {15}^{2} - {10}^{2} = {b}^{2} [/tex]

[tex]225 - 100 = {b}^{2} [/tex]

[tex]125 = {b}^{2} [/tex]

[tex]b = \sqrt{125} [/tex]

[tex]b = \sqrt{5 \times 5 \times 5} [/tex]

[tex]b = 5 \sqrt{5} cm \: (ans)[/tex]

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