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Ket [755]
3 years ago
9

Geometry help quickly

Mathematics
1 answer:
lbvjy [14]3 years ago
6 0

Answer:

RQ = 18

Step-by-step explanation:

KR is an angle bisector and divides the opposite side into segments that are proportional to the other two sides, that is

\frac{KP}{KQ} = \frac{PR}{RQ} , substitute values

\frac{50}{45} = \frac{38-x}{x} ( cross- multiply )

45(38 - x) = 50x ← distribute left side

1710 - 45x = 50x ( add 45x to both sides )

1710 = 95x ( divide both sides by 95 )

18 = x

That is RQ = 18

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Part III: Find the unknown side lengths, AB and BC. HINT: Use either the Pythagorean Theorem or special right triangle propertie
yaroslaw [1]

The measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.

<h3>What is a right-angle triangle?</h3>

If any of its inner angles is 90 degrees, the triangle is said to be right-angled. Another term for this triangle is the right triangle or 90-degree triangle.

From the given triangle, it is observed that one of the angles is 90°, showing the given triangle is a right-angle triangle.

From the Δ ABC we found;

tan 45° = AB/BC

1=AB/BC

AB=BC

sin 45° = AB/AC

(1/√2)=AB/AC

AC = √2 AB

From the graph, it is observed that

AB=BC =3 units

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AC = 3√2 units

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