Right Triangle Altitude Leg Theorem

Refer to the figure. Find the length of the segment c. Note: segment c is a leg and the length of the segments of hypotenuse are 16 and 4. And 16 is adjacent to c.

Tags

CCSS.HSG.CO.C.9

When the altitude is drawn to the hypotenuse of a right triangle, the length of the altitude is the geometric mean between the segments of the hypotenuse.

• True

• False

Tags

CCSS.8.G.B.8

When the altitude is drawn to the hypotenuse of a right triangle, each leg is the geometric mean between the hypotenuse and the segment of the hypotenuse that is adjacent to the leg

• True

• False

Tags

CCSS.HSG.CO.C.10

If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other.

• AA Similarity Theorem

• AAA Similarity Theorem

• SAS Similarity Theorem

• Right Triangle Similarity Theorem

Tags

CCSS.HSG.SRT.B.4

Solve for x. Use Property 2

Tags

CCSS.8.EE.A.2

Solve for x. Use property 1

Tags

CCSS.8.G.B.7

What type of triangles do you use the trig ratios with?

• any type

• right triangle

• obtuse triangle

• acute triangle

Tags

CCSS.HSG.SRT.C.6

What is the hypotnuse?

• 3

• 4

• 5

Tags

CCSS.8.G.B.7

Find x.

• 44.55

• 22.69

• 41.66

• 38.49

Tags

CCSS.HSG.SRT.C.8

What is the length of "opposite side" to angle B?

• 6

• 8

• 10

• not possible to determine

Tags

CCSS.8.G.B.8