Question

Equilateral triangles are drawn on three sides of right angled triangle then

Answer 1

Answer:

all sides are equal and same as all angles

Answer 2

Answer:

Support my channel --- https://www.youtube.com/channel/UCa4yRWwPxYYGB_MV4xUpYow?view_as=subscriber

Step-by-step explanation:

prove : triangle PAB and triangle QBC and triangle RCR similar since all the triangle are equilateral

Two triangle PNB similar triangle QBC similar triangle RCA

Hence,

Area of triangle PAV / area of triangle are RCA.= ab square upon ac square --------------(1)

Area of triangle ABC / area of triangle are = BC square + AC square

------------(2)

Adding equation (1) and (2)

area of triangle PAB / area of triangle RCA + area of triangle QBC / area of triangle RCA = AB square /AC square + BC square / AC square - AB square - BC square / AC Square

area of triangle PAB + area of triangle QBC / area of triangle RCA = AC square / AC square = 1

area of triangle PAB+ area of triangle QBC = area of triangle RCA

Hence proved

I hope it's clear for you