JSFiddle - React, Tailwind, and code Playground

HTML

<div class="speech-bubble"><p>This is a speech bubble created using only CSS. No images to be found here...</p></div>

CSS

.speech-bubble {
    position:relative;
    width: 320px;
    padding: 10px;
    margin: 3em;
    background-color:#FFF;
    color: #666;
    font: normal 12px "Segoe UI", Arial, Sans-serif;
    -moz-border-radius: 10px;
    -webkit-border-radius: 10px;
    border-radius: 10px;
    border: 1px solid rgba(0,0,0,0.095);
}
.speech-bubble p {
    font-size: 1.25em;
}

.speech-bubble:before,
.speech-bubble:after {
    content: "";
    display:block;
    position:absolute;
    top:-20px;
    left:20px;
    z-index:2;
    width: 0;
    height: 0;
    overflow:hidden;
    border: solid 20px transparent;
    border-top: 0;
    border-bottom-color:#FFF;
}
.speech-bubble:before {
    top:-30px;
    z-index:1;
    border-bottom-color:rgba(0,0,0,0.095);
}