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Triss [41]
3 years ago
12

In the diagram abc=adb=90, ad=p and dc=q. Use similar triangles to show that x2=pz plzz anyoneee

Mathematics
1 answer:
kramer3 years ago
7 0

Answer:

By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that x^{2} =pz

Step-by-step explanation:

Given that ∠ABC=∠ADC, AD=p and DC=q.

Let us take compare Δ ABC and  Δ ADB in the attached file , ∠A is common in both triangles

                                                                     and given ∠ABC=∠ADB=90°

Hence using AA postulate, ΔABC ≈ ΔADB.

Now we will equate respective side ratios in both triangles.

\frac{AB}{AC}= \frac{AD}{AB}=\frac{BD}{BC}

Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.

\frac{x}{z}= \frac{p}{x}

Cross multiply

x^{2}=pz

Hence proved.


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2. m<1 + m<2=90* 2.<u>DEFINITION OF COMPLEMENTARY ANGLES</u>

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Matrix a is a 6 × 5 matrix. which order of matrix can be multiplied by matrix a to create matrix ab?
mezya [45]

Order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

<h3>What is a matrix?</h3>
  • A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics.
  • For instance, consider a matrix with two rows and three columns.

To find the order of matrix:

  • We must first check the dimension of two matrices, say matrix A by matrix B, before we may multiply them.
  • Multiplication is achievable if the number of columns in the first matrix, A, equals the number of rows in the second matrix.
  • Dimension is assigned to the provided matrix: 6 × 5
  • This means the given matrix contains six rows and five columns.
  • As a result, the second matrix MUST have 5 rows in order for multiplication to be POSSIBLE.
  • The only matrix with 5 rows among the above alternatives is the matrix with dimension (B) 5 × 6.

To prove:

  • In other words, the inner products of the dimensions should be equal.
  • That is; (a × b)(b × a) is possible but (a ×b)(c × b) is impossible.
  • The dimensions of the matrix are given by, row × column.

Therefore, order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

Know more about matrix here:

brainly.com/question/24079385

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