Question

Math problem please help me

Answer 1

`\sf\pink{c\:=\:25\:centimetres}` ✅

Step-by-step explanation:-

`\sf\purple{Using\:Pythagoras\:theorem, \:we \:have}`

`({Perpendicular})^(2) + ({Base})^(2) = ({Hypotenuse})^(2) \\ ➪\:( {15 \: cm})^(2) + ({20 \: cm})^(2) = {c}^(2) \\ ➪ \: {c}^(2) = 225 \: {cm}^(2) + 400 \: {cm}^(2) \\ ➪ \: {c}^(2) = 625 \: {cm}^(2) \\ ➪ \: c \: = \sqrt{625 \: {cm}^(2) } \\ ➪ \: c \: = \sqrt{25 * 25 \: {cm}^(2) } \\ ➪ \: c = \sqrt{ ({25 \: cm})^(2) } \\ ➪ \: c \: = 25 \: cm`

`{\boxed{\mathcal{\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:25\:cm.}}}}`

`\boxed{Note:-}`

• Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides."

`\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆`

Answer 2

55 centimeters

Explanation:

It is a right triangle which means it will add up to 90 degrees. You would start by adding 20 and 15 which is 35 and then subtract 35 from 90 to get 55. I hope this helped :)