हिंदी

State Sas Similarity Criterion. - Mathematics

Advertisements
Advertisements

प्रश्न

State SAS similarity criterion.

योग

उत्तर

SAS Similarity Criterion: If in two triangles, one pair of corresponding sides are proportional and the included angles are equal then two triangles are similar.

In ΔABC and ΔDEF, if

`(AB)/(DE)=(AC)/(DE)`and

`∠ A=∠D`

Then, Δ ABC ∼ Δ DEF

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Triangles - Exercise 7.9 [पृष्ठ १२९]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 7 Triangles
Exercise 7.9 | Q 6 | पृष्ठ १२९

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

the below given figure, a triangle ABC is drawn to circumscribe a circle of radius 3 cm, such that the segments BD and DC are respectively of lengths 6 cm and 9 cm. If the area of ΔABC is 54 cm2, then find the lengths of sides AB and AC.


In the below figure, a triangle ABC is drawn to circumscribe a circle of radius 3 cm, such that the segments BD and DC are respectively of lengths 6 cm and 9 cm. If the area of Δ ABC is 54 cm2, then find the lengths of sides AB and AC.


In the below figure, If AB || CD, find the value of x.


A girl of height 90 cm is walking away from the base of a lamp-post at a speed of 1.2m/sec. If the lamp is 3.6 m above the ground, find the length of her shadow after 4 seconds.


In below Figure, ΔABC is right angled at C and DE ⊥ AB. Prove that ΔABC ~ ΔADE and Hence find the lengths of AE and DE.


In each of the figures [(i)-(iv)] given below, a line segment is drawn parallel to one side of the triangle and the lengths of certain line-segment are marked. Find the value of x in each of the following :


In each of the following figures, you find who triangles. Indicate whether the triangles are similar. Give reasons in support of your answer.


ABCD is a trapezium having AB || DC. Prove that O, the point of intersection of diagonals, divides the two diagonals in the same ratio. Also prove that

\[\frac{ar\left( ∆ OCD \right)}{ar\left( ∆ OAB \right)} = \frac{1}{9}\] if AB = 3 CD.

Corresponding sides of two triangles are in the ratio 2 : 3. If the area of the smaller triangle is 48 cm2, determine the area of the larger triangle.


State basic proportionality theorem and its converse.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×