Trangle APQ Similar to trangle ABC, AP=8 ,AB=12,AQ=4 find AC
Answers
Given: AP=8cm,AB=12cm,AQ=(3x)cm and
Given: AP=8cm,AB=12cm,AQ=(3x)cm andQC=(x+2)cm and PQ∥BC
Given: AP=8cm,AB=12cm,AQ=(3x)cm andQC=(x+2)cm and PQ∥BCBasic Proportionality theorem which states that if aline is drawn parallel to one side of a triangle theother two sides in distinct points, then the other two sides are divided in the same ratio.
Given: AP=8cm,AB=12cm,AQ=(3x)cm andQC=(x+2)cm and PQ∥BCBasic Proportionality theorem which states that if aline is drawn parallel to one side of a triangle theother two sides in distinct points, then the other two sides are divided in the same ratio.∴
Given: AP=8cm,AB=12cm,AQ=(3x)cm andQC=(x+2)cm and PQ∥BCBasic Proportionality theorem which states that if aline is drawn parallel to one side of a triangle theother two sides in distinct points, then the other two sides are divided in the same ratio.∴ PB
Given: AP=8cm,AB=12cm,AQ=(3x)cm andQC=(x+2)cm and PQ∥BCBasic Proportionality theorem which states that if aline is drawn parallel to one side of a triangle theother two sides in distinct points, then the other two sides are divided in the same ratio.∴ PBAP
Given: AP=8cm,AB=12cm,AQ=(3x)cm andQC=(x+2)cm and PQ∥BCBasic Proportionality theorem which states that if aline is drawn parallel to one side of a triangle theother two sides in distinct points, then the other two sides are divided in the same ratio.∴ PBAP
Given: AP=8cm,AB=12cm,AQ=(3x)cm andQC=(x+2)cm and PQ∥BCBasic Proportionality theorem which states that if aline is drawn parallel to one side of a triangle theother two sides in distinct points, then the other two sides are divided in the same ratio.∴ PBAP =
Given: AP=8cm,AB=12cm,AQ=(3x)cm andQC=(x+2)cm and PQ∥BCBasic Proportionality theorem which states that if aline is drawn parallel to one side of a triangle theother two sides in distinct points, then the other two sides are divided in the same ratio.∴ PBAP = QC
Given: AP=8cm,AB=12cm,AQ=(3x)cm andQC=(x+2)cm and PQ∥BCBasic Proportionality theorem which states that if aline is drawn parallel to one side of a triangle theother two sides in distinct points, then the other two sides are divided in the same ratio.∴ PBAP = QCAA
⟹
⟹ AB−AP
⟹ AB−APAP
⟹ AB−APAP
⟹ AB−APAP =
⟹ AB−APAP = QC
⟹ AB−APAP = QCAQ
⟹ AB−APAP = QCAQ
⟹ AB−APAP = QCAQ
⟹ AB−APAP = QCAQ implies
⟹ AB−APAP = QCAQ implies 4
⟹ AB−APAP = QCAQ implies 48
⟹ AB−APAP = QCAQ implies 48
⟹ AB−APAP = QCAQ implies 48 =
⟹ AB−APAP = QCAQ implies 48 = x+2
⟹ AB−APAP = QCAQ implies 48 = x+23x
⟹ AB−APAP = QCAQ implies 48 = x+23x
⟹ AB−APAP = QCAQ implies 48 = x+23x
⟹ AB−APAP = QCAQ implies 48 = x+23x ⟹2=
⟹ AB−APAP = QCAQ implies 48 = x+23x ⟹2= x+2
⟹ AB−APAP = QCAQ implies 48 = x+23x ⟹2= x+23x
⟹ AB−APAP = QCAQ implies 48 = x+23x ⟹2= x+23x
⟹ AB−APAP = QCAQ implies 48 = x+23x ⟹2= x+23x
⟹ AB−APAP = QCAQ implies 48 = x+23x ⟹2= x+23x ⟹2x+4=3x
⟹ AB−APAP = QCAQ implies 48 = x+23x ⟹2= x+23x ⟹2x+4=3x ⟹x=4
4 units is the length of AC.
Given:
AP=8 ,AB=12,AQ=4
To find: AC
Solution:
- If two together hands of a trio are in the unchanging ratio of two together sides of another trio, and the angle writen by two together hands in two together the trio are equal, before two triangles are pronounced expected akin.
- Similar triangles are triangles that have the same shape, but their sizes concede possibility change. All four-sided triangles, squares of some side lengths are instances of comparable objects.
- In other words, if two triangles are akin, before their equivalent angles are harmonious and matching sides are in equal portion. We mean the correspondence of triangles attending by ‘~’ letter.
⟹ AB−APAP = QCAQ implies 48 = x+23x ⟹2= x+2
⟹ AB−APAP = QCAQ implies 48 = x+23x ⟹2= x+23x
⟹ AB−APAP = QCAQ implies 48 = x+23x ⟹2= x+23x
⟹ AB−APAP = QCAQ implies 48 = x+23x ⟹2= x+23x ⟹2x+4=3x
⟹ AB−APAP = QCAQ implies 48 = x+23x ⟹2= x+23x ⟹2x+4=3x ⟹x=4
Hence the length of AC would be 4 units.
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