Question

ratio of the area of WXY to the area of WZY is 3: 4 if the area of WXZ is 52 CM square and WYis 8 cm find the length of Xand YZ​

Answer 1

Let the sides be 3x,4x and 5x. Perimeter= 3x+4x+5x 144=12x X=12 Sides- 36,48,60

Pls mark it the brainliest

Answer 2

The measure of length of side XZ is 14 square centimeter

The measure of the length of the side YZ is 8 centimeters

Given as :

The ratio of area of triangle WXY to the area of triangle WZY = 3 : 4

I.e Area Δ WXY : Area Δ WZY = 3 : 4

The Area of Triangle WXZ = 56 square centimeter

I.e Area Δ WXZ = 56 sq cm

Again

The measure of height WY = 8 cm

For Area Δ WXZ =  × height × base

Or, 56 sq cm =  × WY × XZ

Or, WY × XZ = 56 × 2

Or, 8 × XZ = 112

 XZ = 14  cm

So, the measure of length of side XZ = 14 square centimeter

For Area Δ WZY =  × height × base

i.e  Area Δ WZY =   × WY × YZ

From eq 1

or, YZ = 4 × 2

Or, YZ = 8 cm

So, The measure of the length of the side YZ = 8 centimeters

Hence, The measure of length of side XZ is 14 square centimeter and The measure of the length of the side YZ is 8 centimeters . Answer