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3 years ago

Please explain your answer. Thank you.

Mathematics

1 answer:

Mkey [24]3 years ago

8 0

Answer:

17. The median of trapezoid = 10 units

m<A = 68°

18. ΔABC ≅ ΔADC

Step-by-step explanation:

<u>17). To find the median of trapezoid</u>

From the figure we can see a trapezoid ABCD.

Median of trapezoid = Half the sum of bases

Here base of trapezoid are 15 and 5 units

Median = (15 + 5)/2 = 10

Also it is given that ABCD is isosceles trapezoid,

Therefore m<A =m < B = 68°

<u> 18). To prove ΔABC ≅ ΔADC</u>

From the second figure we can see two triangles ΔABC and ΔADC

It is given that,

<BCA = <ACD

<B = <D = 90°

From figure we can see that, AC is common for both the triangle.

Therefore by HL congruence we can see that, ΔABC ≅ ΔADC

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