Proportions With Special Parts Of Triangles

When the altitude is drawn to the hypotenuse of a right triangle, 3 right triangles are formed which are all similar to each other, therefore all pairs of corresponding sides are in proportion.

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• I didn't know that.

Tags

CCSS.HSG.CO.C.9

A leg is the the mean proportional between the whole hypotenuse

and the part of the hypotenuse on the same side as the leg.

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• I still need to memorize and practice this.

Tags

CCSS.HSG.CO.C.10

The altitude is the the mean proportional

between the two parts of the hypotenuse.

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• I still need to memorize and practice this.

Which equation would you use to find the value of x?

Answer explanation

x is a leg, and you have information about the hypotenuse, so use the leg as a mean proportional between the whole hypotenuse and the part of the hypotenuse on the same side as that leg.

Tags

CCSS.HSG.CO.C.9

Which equation would you use to find the value of y?

Answer explanation

y is an altitude, and you have information about the parts of the hypotenuse, so use the altitude as a mean proportional between the 2 parts of the hypotenuse.

Tags

CCSS.HSG.CO.C.9

Which equation would you use to find the value of z?

Answer explanation

z is a leg, and you have information about the hypotenuse, so use the leg as a mean proportional between the whole hypotenuse and the part of the hypotenuse on the same side as that leg.

Tags

CCSS.HSG.CO.C.9

Which should be the mean proportional to find the value of x?

• A part

• The altitude

• The hypotenuse

• A leg

Tags

CCSS.HSG.CO.C.10

6√4 2 4√6 √6

• 6√4

• 2

• 4√6

• √6

Tags

CCSS.HSG.CO.C.9

Which proportion would you use to calculate x?

Answer explanation

Add the parts to get the whole hypotenuse.

Tags

CCSS.HSG.SRT.B.4

Find the value of the variable. Round to the nearest tenth if needed.

• 7.9

• 11.6

• 10.2

• 13.7

Tags

CCSS.8.G.B.7