Question

Find r if AB = 4 and AD = 8.

Answer 1

The value of r from the given triangle if AB = 4 and AD = 8 is; r = 6

Pythagorean Theorem

The image of the triangle is missing and so i have attached it.

From the attached image, we see that the ABCD is a right angle triangle.

We are given that;

• AB = 4

• AD = 8

• BC = CD = r

Thus;

AC = AB + BC

AC = 4 + r

Using Pythagorean theorem, we have;

AC² = AD² + CD²

Thus;

(4 + r)² = 8² + r²

16 + 8r + r² = 64 + r²

r² will cancel out to give;

16 + 8r = 64

8r = 64 - 16

8r = 48

r = 48/8

r = 6

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