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Applications to Geometry

Interactive practice questions

Consider the following figure.

A scalene triangle is divided into two by an internal segment represented by a dashed line which measures 5 and is perpendicular to the base of the triangle. A right triangle is formed on the right hand side which has a hypotenuse of 10 and its base is labeled as y. Another right triangle is formed on the left hand side which has a hypotenuse of 7 and its base is labeled as x.

a

Find the value of $x$x.

Round your answer to two decimal places.

b

Next, find the value of $y$y.

Round your answer to two decimal places.

c

Hence or otherwise, find the length of the base of the triangle.

Round your answer to two decimal places.

Easy
3 min

Consider the following diagram.

Easy
3 min

Consider the following trapezium.

Easy
3 min

Consider a cone with slant height $13$13m and perpendicular height $12$12m.

Easy
1 min
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