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3 years ago

A4BC is a right-angled isosceles triangle and the area of AABC is 50 cm.

Mathematics

1 answer:

pishuonlain [190]3 years ago

6 0

Answer:

x = 10√2 cm

Step-by-step explanation:

Using,

A = 1/2bh.............. Equation 1

From the diagram,

Since: Line AB = Line AC.

Where A = Area, b = h

From the question,

Given: A = 50 cm

Substitute into Equation 1

50 = (h²)/2

h² = 50×100

h² = 100

h = √100

h = 10 cm.

There AB = AC = 10 cm

Applying pythagosras theorem,

x² = 10²+10²

x² =100+100

x² = 200

x = √200

x = 10√2 cm

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Prove that: (12^13–12^12+12^11)(11^9–11^8+11^7) is divisible by 3, 7, 19, and 37. The answer should be like: x^b*3*7*19*37. Also

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Given (12^13–12^12+12^11)(11^9–11^8+11^7),

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[(12^12)12 – 12^12 + 12^11][(11^8)11 – 11^8 + 11^7)

[(12^12)(12 – 1) + 12^11][(11^8)(11 – 1) + 11^7] =

(12^12(11) + 12^11)(11^8(10) + 11^7) =

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[(12^11)(12x11 + 1)][(11^7)(11x10 + 1)] =

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[(12^11)x(11^7)](14763) =

[(12^11)x(11^7)](3x7x19x37)

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