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deb69
23.10.2019 •
Mathematics
"a student made the following chart to prove that ab2 + bc2 = ac2.
statement justification
1. triangle abc is similar to triangle bdc 1. angle abc = angle bdc and angle bca = angle bcd
2. bc2 = ac × dc 2. bc ÷ dc = ac ÷ bc because triangle abc is similar to triangle bdc
3. triangle abc is similar to triangle abd 3. angle abc = angle bad and angle bac = angle abd
4. ab2 = ac × ad 4. ab ÷ ad = ac ÷ ab because triangle abc is similar to triangle abd
5. ab2 + bc2 = ac × ad + ac × dc
= ac (ad + dc)
6. adding statement 1 and statement 2
7. ab2 + bc2 = ac2
which of the first four steps is the error? "
Solved
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Ответ:
Step 3 has an error.
Step-by-step explanation:
Similarity-criteria of triangles:
1.All the corresponding angles of two triangles should be equal.
2.The ratio between the corresponding sides of two triangles should be equal.
In
and
All the angles of triangle are equal.
∴![\triangle ABC \sim \triangle BDC](/tpl/images/0342/2051/ae666.png)
Since,![\triangle ABC \sim \triangle BDC](/tpl/images/0342/2051/ae666.png)
In
and
,
All the angles of triangle are equal.
∴![\fbox{\begin\triangle ABC \sim \triangle BDA \end{minispace}}](/tpl/images/0342/2051/f0800.png)
∵
Now,
can be simplified as,
Learn more:
1.Find the height of the triangle?
link
2.Which undefined term is needed to define an angle? link
3.Look at the figure, which trigonometric ratio should you use to find x? link
Answer Details
Grade: Junior High School
Subject: Mathematics
Chapter: Triangle
Keywords: triangle, similar, similarity, ratio of sides, right triangle, similar triangle, ratio of sides, equal angles, square of hypotenuse, sum, square of legs, sum of square of legs
Ответ:
I think that it is no.
Step-by-step explanation:
Becasue 15, 39 is more than the 16, 33