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o10376643
19.12.2020 •
Mathematics
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Ответ:
AD = 15
Step-by-step explanation:
Based on the Pythagoras Theorem, the longest side of a right-angled triangle is:
where a and b are the legs of the triangle.
In triangle BDC, we can put in the formula to find BD.
85 =![\sqrt{77^{2}+BD^{2}}](/tpl/images/1002/5337/fa102.png)
85² = 77² + BD²
7225 = 5929 + BD²
BD² = 7225 - 5929
= 1296
BD =![\sqrt{1296}](/tpl/images/1002/5337/0f362.png)
BD = 36
In triangle ABD, we can put in the formula to find AD.
39 =![\sqrt{36^{2}+AD^{2}}](/tpl/images/1002/5337/d47fa.png)
39² = 36² + AD²
1521 = 1296 + AD²
AD² = 1521 - 1296
= 225
AD =![\sqrt{225}](/tpl/images/1002/5337/69349.png)
AD = 15
Ответ: