Question

S point is on the side PR of triangle pmr such that and 3sr=2sp. is segment St parallel to segment PM in if a triangle pm is equals to 50 cm square then find the angle of triangle are st and angle of a triangle pMST​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

(i) A( triangle RST) is 8 cm?

(ii) A( quadrilateral PMTS) i

42 cm?

Step-by-step explanation: It is given that,

Point S is on the side PR of triangle PMR such that

3SR = 2SP

- SR/SP = 2/3 .... (i)

Seg ST // Seg PM

Area (triangle PMR) = 50 cm2 ... (ii)

Case (i): Finding the area of triangl RST

Consider ARST and APRM, we get

ZR = ZR . [common angle]

ZRST = ZRPM .. [corresponding angles] . By AA similarity, ARST APRM

We know that the ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides.

: [Area(ARST)] / [Area(APRM)] = [RS] / [PR)

- [Area(ARST)] /[Area(APMR)] = [SR?]/ [(SR + SP)?] Substituting the values from (i) & (ii) - [Area(ARST)] / [50] [2']/ [(2 + 3)*] [Area(ARST)] / [50] = [4]/[25] [Area(ARST)] = [4/25] * 50 - [Area(ARST)] = 8 cm2

Case (ii): Finding the area of quadrilateral PMTS

The area of quadrilateral PMTS is given by,

= [Area of triangle PMR] - [Area of triangle RST]

= [50 cm] - [8 cm?]

= 42 cm?